When Gracie was spayed, we got to bring her home the same day. The anesthesia really made her lethargic and calmed her down quite a bit. Of course she wasn't her normal self. I think it totally wore off by the second evening and everything was back to normal.
Other than that, we just kept an eye on her and kept her comfortable. Made sure her sutures were healing correctly.
I'm sure the vet will give you follow up advice and let you know what to watch for if problems occur.