I wouldn't expect to be able to go home for Indoc and Initial Ground. Some weekends you will have class or required studying to do, and you will have to devote a large portion of your day to get it done in your hotel room. After Indoc but before Initial Ground starts you will have 4 days of not being in a classroom but you will have 4 days to get all of your CBTs done; which will require at least 8+ hours a day minimum to get them done on time.
Long story short, unless you've done prior 121 Indoc and/or Initial Ground and feel confident going in with what material will be covered, I would not expect to be able to go home until you are done with ground school. You won't even get your flight benefits until the later half of Initial Ground, either. Even if you do go home, you will need to be studying. There are plenty of CBTs and homework you will be assigned, not to mention reviewing the mass amounts of material you will get through class.