In past years people have come to these forums and complained, feeling ripped off for their experience of attending on Sunday only.
As others have said:
Sunday is a 1/2 day of the con. There are much fewer events. Events tend to get cancelled on Sunday (especially morning events) due to no shows of players and DMs alike moreso than on other days (still a rare occurrence).
Given your substantial time investment to get there, I'd definitely shoot for Saturday.
Be sure to view the event catalogs when they are released, pick some events you think will be fun and put them in your wishlist, and be online at the exact minute registration opens to have a shot at getting them.
There will be many events, and openings, after the initial registration - but many events are in short supply and are snapped up within minutes of registration going live.
You can easily spend a day wandering the exhibit hall and play-testing games, but Saturday is the busiest day for this.
Saturday also has the costume contest and parade.
Have fun - welcome to Gen Con!