The Taskmaster will welcome you in your village:

If you complete the tasks you will get nice rewards to develop your account faster. You must click on "To the first task." in the menu under the task master icon to access the tasks.
If you click on "Look around on your own." then you will be able to start the tasks later by clicking on the picture of the taskmaster on the left side of your village and choosing "To the first task.".

List of available tasks

Task 1: Woodcutter
Task 2: Crop
Task 3: Your village's name
Task 4: Rally Point
Task 5: Go Adventuring
Task 6: Other players
Task 7: Two Building Orders
Task 8: Messages
Task 9: One Each.
Task 10: Neighbours
Task 11: Change Hero's Production
Task 12: Read Adventure Report
Task 13: 2nd Adventure
Task 14: Everything to 1!
Task 15: Dove of Peace
Task 16: Cranny
Task 17: To Two!
Task 18: Instructions
Task 19: Main Building
Task 20: Advanced!
Task 21: Weapons or Dough
Task 21a: Continue from Task 21
Task 21a: Continue from Task 21
Task 22a: Warehouse
Task 22b: Train.
Task 23a: Marketplace
Task 23b: Build a city wall / earth wall / palisade (based on your tribe).
Task 24: Everything to 2!
Task 25. Embassy
Task 26: Alliance
Task 27: 10 Adventures!
Task 28: Main Building to Level 5.
Task 29: Granary to Level 3. Task 30: Warehouse to Level 7.
Task 31: All to five.
Task 32: Palace or Residence?
Task 33: 3 settlers.
Task 34: New Village.
Task 35a: Barracks to Level 1. (continue from quest 23a)
Task 35b: Marketplace to level 1. (continue from quest 23b)

Task 1: Woodcutter
„There are four green forests around your village. Construct a woodcutter on one of them. Lumber is an important resource for our new settlement.”
Order: Construct a woodcutter.
Task reward: Woodcutter instantly completed.

Task 2: Crop
„Now your subjects are hungry from working all day. Extend a cropland to improve your subjects' supply. Come back here once the building is complete.”
Order: Extend one cropland
Task reward: 1 day Travian Plus.

Task 3: Your Village's Name
„Creative as you are, you can grant your village the ultimate name.
Just double click on the signpost with the village name...”
Order: Change your village's name to something nice
Task reward:  130  160  130 100

Task 4: Rally Point
 „In your surroundings, there are many mysterious places for you to explore. To prepare for these adventures, you need a rally point.
The rally point must be built on a specific building site in your village centre. The building site is located on the right side of the main building, slightly below it. The building site itself is curved.”
Order: Build the rally point
Task reward: Rally Point instantly completed.

Task 5: Go Adventuring
„Adventures can only be done by your hero. Look on the map for a nearby adventure. With some luck you´ll find a treasure.”
Order: Start your first adventure.

Task 6: Other Players
„In Travian, you play with a lot of other players. Click 'statistics' in the top menu to look up your rank and enter it here.”
Order: Look for your rank in the statistics and enter it here. Hint: "Here" means the white blank under the task screen. When you're done, click the "complete task" button.
Task reward:  80  110  60  40

Task 7: Two Building Orders
„Build an iron mine and a clay pit. Of iron and clay one can never have enough. Thanks to the Plus account I gave you a short while ago, you can give both orders right away.”
Order: 
* Extend one iron mine.
* Extend one clay pit.
Task reward: 150 160  130 150

Task 8: Messages
„You can talk to other players using the messaging system. I sent a message to you. Read it and come back here.”
Order: Read your new message.
Task reward: 20

Task 9: One Each.
„In Travian there is always something to do! While you are waiting for the result of your adventure, build an additional woodcutter, clay pit, iron mine and cropland to level 1.”
Order: Extend one more of each resource tile to level 1.
Task reward: 100 120 40 40

Task 10: Neighbours
„Around you, there are many different villages. One of them is named xxx`s village.
Click on 'map' in the header menu and look for that village. The name of your neighbours' villages can be seen when hovering your mouse over any of them.”
Order: Look for the coordinates of xxx`s village and enter them here. Hint: Fill the white blank with the coordinate of this player. When you're done, click the "complete task" button.
Task reward: 60 30 40 90

Task 11: Change Hero's Production 
„Hero's like you are not only great adventurers, but also great workers and can produce resources. At the moment, you are producing one of each type.”
Order: Change the resource production of your hero in the hero settings.
Task reward: 200 of the resource you changed it to (so for example 200 in case your hero produce now lumber).

Task 12: Read Adventure Report 
„You finished your adventure with success. Read the report to find out details about this adventure.”
Order: Read adventure report. Hint: You can see these by clicking on the 5th button (from left to right).
Task reward: 75 140 40

Task 13: 2nd Adventure 
„Since your last adventure was a huge success, we´ll go on another adventure.”
Order: Send your hero on another adventure.

Task reward: 2 days Travian Plus.

Task 14: Everything to 1.
„Now we should increase your resource production a bit. Extend all your resource tiles to level 1.”
Order: Extend all resource tiles to level 1.
Task reward: 75 120 30 50

Task 15: Dove of Peace
„The first few days after signing up, you are protected from attacks by your fellow players. You can see how long this protection lasts by adding the code [#0] to your profile.”
Order: Write the code [#0] into your profile by adding it to one of the two description fields. Hint: You'll see a white dove in your profile after complete doing this. If the dove is a bit dark that mean you still have the protection. If the dove is lighter, that mean you have no longer beginner protection)
Task reward: 120 200 140 100

Task 16: Cranny
„It's time to construct a cranny. The world of Travian is dangerous.
Many players live by stealing other players' resources. Build a cranny to hide some of your resources from enemies.”
Order: Construct a cranny
Task reward: 150 180 30 130

Task 17: To Two!
„In Travian, there is always something to do! Extend one woodcutter, one clay pit, one iron mine and one cropland to level 2 each.”
Order: Extend one of each resource tile to level 2.
Task reward: 60 50 40 30

Task 18: Instructions
„In the in-game instructions, you can find short information texts about different buildings and types of units.
Click on the black book down in the left corner to find out how much lumber is required for the barracks.”
Order: Enter how much lumber the barracks costs.
Task reward: 50 30 60 20

Task 19: Main Building
„Your master builders need a main building level 3 to erect important buildings such as the marketplace or barracks.”
Order: Extend your main building to level 3.
Task reward: 75 75 40 40

Task 20: Advanced!
„Look up your rank in the player statistics again and enjoy your progress.”
Order: Look for your rank in the statistics and enter it here.
Task reward: 100 90 100 60

Task 21: Weapons or Dough
„Now you have to make a decision: either trade peacefully or become a dreaded warrior.
For the marketplace you need a granary, for troops you need a barracks.”
Order: You must choose from the 2 types of growth, economy or military, if you choose economy so go to Task 21a, if you choose military, go to Task 21b.
Task reward: 80 90 60 40

Task 21a:
„Trade & economy was your choice. Golden times await you for sure!”
Order: Construct a granary
Task reward: 80 90 60 40

Task 21b:
„A brave choice. To build troops you need a barracks.”
Order: Build barracks.
Task reward: 70 100 90 100

Task 22a: Warehouse (continue from quest 21a)
„Crop isn't the only resource which must be saved; other resources can go to waste as well if they are not stored correctly. Construct a warehouse!”
Order: Build a warehouse
Task reward: 70 120 90 50

Task 22b: Train. (continue from quest 21b)
„Now that you have a barracks, you can start training troops. Train two Phalanxes / Clubswingers / Legionaires” (based on your tribe)."
Order: Train 2 Phalanxes / Clubswingers / Legionaires
Task reward: 300 320 360 570

Task 23a: Marketplace (continue from quest 22a)
„Build a marketplace so you can trade with other players.”
Order: Build a marketplace.
Task reward: 700 200 700 450

Task 23b: Build a city wall / earth wall / palisade (based on your tribe). (continue from quest 22b)
„Now that you have trained some soldiers, you should build a city wall / earth wall / palisade too. It increases the base defence and your soldiers will receive a defensive bonus.”
Order: Build a city wall / earth wall / palisade.
Task reward:  200  120   180  80

From here on you can decide yourselves in which order you want to finish your tasks. You will get a list with open tasks and can choose one to work on:

Task 24: Everything to 2!
„Now it's time again to extend the cornerstones of might and wealth! This time level 1 is not enough... it will take a while but in the end it will be worth it. Expand all your resource tiles to level 2.”
Order: Expand all resource tiles to level 2.
Task reward: 15

Task 25. Embassy
„The world of Travian is dangerous. You already built a Cranny to protect your resources against attackers. A good alliance will give you even better protection.
To accept invitations from alliances, build an embassy.”
Order: Build an embassy.
Reward: 200 120 180 80

Task 26: Alliance
„Teamwork is important in Travian. Players who work together organise themselves in alliances.
Get an invitation from an alliance in your region and join this alliance. Alternatively, you can found your own alliance. To do this, you need a level 3 embassy.”
Order: Join an alliance or found one on your own.
Reward for joining an alliance: 240 280 180 100

Task 27: 10 Adventures!
„You can always find new adventures on the map. Master 10 to become an experienced hero.
As your adventures progress, they will become more and more difficult. Remember to add some points to your hero's fighting strength, so he doesn't die as easily. The stronger he is, the more resilient an adventurer he will become!”
Order: Survive 10 adventures.
Reward: 500

Task 28: Main Building to Level 5.
„To be able to build a palace or residence, you´ll need a main building at level 5.”
Order: Upgrade your main building to level 5.
Reward: 600 750 600 300

Task 29: Granary to Level 3.
„That you don´t lose crop, you should upgrade your granary.”
Order: Upgrade your granary to level 3.
Reward: 900 850 600 300

Task 30: Warehouse to Level 7.
„To make sure your resources won't overflow, you should upgrade your warehouse.”
Order: Upgrade your warehouse to level 7.
Reward: 1800 2000 1650 800

Task 31: All to five.
„You will always need more resources. Resource tiles are quite expensive but will always pay out in the long term.”
Order: Upgrade all resources tiles to level 5.
Reward: 1600 1800 1950 1200

Task 32: Palace or Residence?
„To found a new village, you´ll need settlers. Those you can train in either a palace or a residence.”
Order: Build a palace or residence to level 10.
Reward: 3400 2800 3600 2200

Task 33: 3 settlers.
„To found a new village, you´ll need settlers. You can train them in the palace or residence.”
Order: Train 3 settlers.
Reward: 1050 800 900 750

Task 34: New Village.
„There are a lot of empty tiles on the map. Find one that suits you and found a new village.”
Order: Found a new village.
Reward: 1600 2000 1800 1300

Task 35a: Barracks to Level 1. (continue from quest 23a)
„Now its time to get the machine of war running. Build a level 1 barracks.”
Order: Build barracks.
Reward: 140 200 180 200

Task 35b: Marketplace to level 1. (continue from quest 23b)
„Now its time to get your economy up. Build a level 1 marketplace.”
Order: Build a marketplace.
Reward: 140 200 180 200