Welcome!
It varies, I suppose. And it depends which organ(s) you are talking about. Physically, the transformation can be almost immediate. Mostly the absence of alcohol related ills. Waking up feeling great. Lack of fatigue. And so on and so on.
The brain however, is different. I may still want its "medicine" long after quitting. It may sneak up on you. Which is why support via AA, etc can be effective.
I prefer sobriety and absence of alcohol so much (5weeks) I have been able to deal with the occasional "surprise" craving. There is just too much to lose.
Good luck. Fear not.
warrens