No. You do not need to own Don’t Starve to play Don't Starve Together. If you receive the game as a gift on Steam, you will be able to play the game even if you do not own Don't Starve.
Don't Starve Together can also be purchased for $14.99 (USD), which includes an extra, giftable copy of Don't Starve Together for your friend.
Don't Starve Together can also be purchased for $14.99 (USD), which includes an extra, giftable copy of Don't Starve Together for your friend.