Will I get general anesthesia for wisdom teeth?

Talk to dentist, unless procedure is expected to be complicated and/or you are extremely anxious general anesthesia is not required. I had a wisdom tooth removed and it was no big deal once local anesthetic was applied.
Ask Surgeon. Ask you Oral Surgical Specialist. The decision as to type of anesthesia is based on medical history, patient preference, severity of procedure, and many other factors..