I had Crohn's for 7 years before having surgery two years ago, and I have been disease-free and medicine-free ever since. Having this surgery completely took care of the pain associated with Crohn's for me, and now I'm completely healthy. So, it would definitely make your UC pain go away.
I would ask your doctor if having surgery would help you have fewer UC-related side effects, like kidney stones and arthritis. I would think if you're UC-free, those problems would definitely get better and not worse.
Congratulations for taking the next step to being UC-free!