It will depend on the procedure. The had to put my husband under for the biopsy. Snippets were sent to the lab as the biopsy proceeded - no cancer on the surface, he had to go a bit deeper to find it. We had the cancer diagnosis immediately (a year ago today, exactly), the
HPV determination was four days later when those lab results were in. Our doctor (bless his heart) got those results to us as soon as he had time to send them.
For his procedure, the followup was no heavy lifting for two weeks. He had a pretty good sore throat for a week or so, but was able to work.