Not all civic buildings are unlocked from the beginning. Civic buildings can be unlocked by town members spending gold - a shared currency. Once the player spends the gold it takes a variable amount of time to build the building in which time any town member can cancel the build and refund the money.
Tapping anywhere on the civic building when you have enough gold brings up a requester telling you you are spending town gold.
Some buildings are not yet available and you may see a sign that reads "Coming Soon!" These buildings will be available in future updates to the game.
Earn gold by filling crates in the Warehouse or purchasing gold from the bank.