I had double inguinal hernia surgery a few years ago. They did it laproscopically so all I have is a tiny scar in my belly button. They put the mesh in.

I had some pain from the big tacks they use to attach it to your muscles but they dissolve eventually - about two weeks. The worst was laughing, coughing, and God help you - sneezing. I was back to work after 5 days. You'll be sore mostly in your abdominal area for a few weeks when you exert those muscles. You have to be careful in the first week or so to not exert those muscles because you risk tearing the fix.

Bottom line - there's no such thing as minor surgery. Your body is being repaired. Don't risk further or repeated injury just because you don't want to miss Wednesdays group ride. You're not going to the Tour de France. Be smart. If you ride hard, then don't ride. I'd stay of the bike for about 2 weeks minimum regardless. Better safe than surgery.