Seriously? You can't watch TV or play a video game or chat online? You HAVE to drive to the store to get alcohol.
You need to make a plan for the weekend. You need to plan what you're going to do, and then plan what you're going to do if you're bored.
Then you need to get a list of phone numbers from AA members and call them when you're bored. If the choice is driving to the store to buy alcohol or calling someoneso you don't feel lonely, call them.
I would also suggest hunting around for a sponsor or other members of AA who will let you hang around with them on the weekends. Just start asking people you like and you will find people who will go to movies with you or out for coffee or whatever. Ask them if you can get a standing appointment for Friday night or Saturday night or Sunday night until you have some time under your belt. Every night might be too much for one person, so you should probably line up 2 or 3 or 4 people to do stuff with.