I had shoulder surgery with a number of repairs being done. I doubt I will ever be 100% again, but after 3 years I am able to shoot for prolonged sessions (up to about 300 arrows per session) and only have minor soreness afterwards (at least most of the time it is only minor). I have dropped draw weight significantly over the last 30 years. Part of that is undoubtedly age, but most of it is injuries. I am still shooting bow weights of 45 to 70 pounds; however, the higher weights are hard on me and hurt my shoulder more, so I shoot the 50 to 60 pound weights the most. Hopefully you will need less done and can recover more quickly. I had other health issues that prevented me from doing the rehab as quickly as I needed it. Still, I think you should plan on two years to heal fairly completely.
You are not going to be able to do much immediately after the surgery. It will require a lot of physical therapy and rehabilitation to get your shoulder back to where you can comfortably shoot a bow if the repairs are extensive. The physical therapists know what they are doing, and if you follow their recommendations you will not hurt yourself and will ultimately recover fairly well. If you try to push beyond what you are told to do you could re-injure yourself and make things much worse than ever. Lower your expectations and be willing to come back slowly. Better to miss one season than mess yourself up even worse and have long term problems.
Allan