Balance-wise, it typically improves really quickly once you start working on it.
Having just worked through an ACL recovery, I handled it in small chunks throughout the day. Each time I stood up, I'd do a minute of one-leg stands on each leg.
Once that was good, I started doing it on my BOSU ball, inflated side facing up. Same thing, hitting out a small amount of work each time I got up.
After that, I started doing more dynamic exercise. I had a band tied off to a doorknob, I'd stand on one leg holding the band. lean forward, hinging at the hip, then standing back up. Think like a one-leg good morning. I'd also step off a stair or box, landing on one leg and holding it for a few seconds before stepping back up.
I started noticing improvement right away, and now I'm working with ski-specific balance blocks that strap on to my ski boots.
I'm sure a lot of the rapid improvement came from my knee healing, but everything I have read about balance training mentions that it goes quickly, generally, once you start working it.