It is general anesthesia, but the details on this are best provided by an anesthesiologist.

You will likely have general anesthesia, which means you will be completely asleep and will have a breathing tube after you are asleep. Appendectomies can be what we call "acute," which means they are done during the diagnosis of appendicitis; or "interval" which means they are done a few weeks after resolution of appendicitis.  Interval appendectomies are elective in nature, but acute appendectomies are usually done as emergency surgery.