It depends really on if it was diagnosed correctly. Tuberosity avulsion fractures, and diaphyseal stress fractures are sometimes misdiagnosed as Jones Fractures. I'd have to see x rays to give you a better idea of what's up. Sometimes surgery is an option in the case of a displaced fracture. (the ends of the bone are spread apart and aren't lined up correctly) In this case they put a screw through the fracture site and just into the canal of the 5th metatarsal, pulling the bones together and aligning them properly to facilitate healing. There are also a couple other forms of fixation such as a bone graft or wiring a plate in. I am currently seeing a patient who had the screw put in about 6 months ago and he has developed significant scar tissue buildup around the surgery site, greatly limiting his range of motion. He is getting sent back to the states for another surgery to clean out some of the scar tissue and check the union of the fracture site.
If it is indeed a Jones Fracture you are looking at significant recovery time with or without surgery. If the bone chunks are close enough together to union without surgery your recovery time will be quicker, but you will still spend a good deal of time in physical therapy working on strength and range of motion and it is pretty unlikely that you will be 100% again. I have seen patients who were able to return to sports, though. Expect about the same with surgery, but with a longer recovery time and longer in physical therapy and a slightly decreased success rate.