Do they put you to sleep or just numb you for wisdom teeth extraction?

Your choice: The areas will be numbed regardless if you choose to be sedated or not.

Your choice: Unless you are a high risk for sedation, you can choose. Many people like conscious sedation instead of total general anesthesia. Safer, and easier to come out of. Many others, prefer to be awake and are fine with local numbing. Much depends on the complexity of the surgery and your preference.