I spend a lot of time on the computer, if you notice the number of posts here!
I also go to AA meetings, listen to music (something I'd forgotten how to enjoy), read (I've always loved reading but was too fogged up to focus when I was drinking). I SHOULD be cleaning the house more often and getting some exercise!
Lots of folks pick up hobbies--new ones or old ones. You can write or journal. Take up meditation. Do volunteer work.
It takes awhile before not drinking feels "normal"--you have to be willing to be a little uncomfortable until you get used to it.
Do you have a plan for how you are going to quit drinking? Have you ever tried it before? A lot of us find it is very difficult to do alone, and that the support of AA or a similar program helps a lot.