You are going to need at least 100 piles of wood for this town lol.
Get you inner Animal Crossing on find an Axe and go cut some trees before you start this quest.
This quest opens up just after you purchase your house in The Legend Of Zelda Breath Of The Wild, Hudson will get transferred to build his own town.
To find him head north to Lake Akkala. The town is in the middle of the lake. When you get there Hudson will ask for your help in building his town. Give him to wood he asks for then invite the person he wants help from to build the town.
Watch my Zelda Breath Of The Wild Building Tarrey Town Guide to find out how to get the town up and running. I broke it down in 2 videos. The above is Part One!