Eat

Corsica food has French and Italian influences but has many unique dishes. The chestnut was one of the ancient (and even current) Corsican's mainstay foods, and many meals and even desserts are prepared with this. Also, most of the domesticated pigs on the island are semi-wild, released to forage for food much of the year, and the charcuterie reflects this excellent flavor. Typical Corsican charcuterie include lonzu, coppa, ham, figatellu, and saucisson made from pig or boar meat. Canistrelli are typical Corsican pastries which come in many different flavors.
Corsica also produces a uniquely flavored olive oil made from ripe fruits collected under trees.
Many villages have small shops where locally produced food is sold. That said, it may be difficult to find a restaurant that prepares truly Corsican dishes, and you may find yourself eating at a tourist-oriented Pizzeria, which nonetheless serves excellent food.

Drink

Corsican brew a wide selection of local beers, have their own coke and make their own wine, reflecting their independent ways. Don't be surprised if you are asked "Américain ou Corse" when ordering a coke. It's highly recommended to try the beers "Colomba", "Pietra" or "Bière Torre" when visiting - a very distinct taste that you won't find anywhere else in France.