First off, WELCOME stars!
It is great that you are here and educating yourself.
I have two comments.
One is, his coming clean, going to a therapist and putting himself in treatment is NOT standard (IMHO). Most of our partners are lying, hiding, denying, minimizing, blaming, etc.
Second is, even if that is true and he is making a good faith effort, no one can say what you should do because you have to ask YOURSELF:
Is it okay with me that he lied to me or hid his alcoholism?
Is it okay with me to be partnered with an alcoholic that may deal with this all his life?
Only you can answer those.
welcome. stick around.
peace