The 2013 schedule has not yet been promulgated. However, based on prior years, the official events start at Friday noon and end Sunday at 6 pm. There may some "unofficial" events on Thursday and Friday morning, such as the MidStore being open, ships in the yard, etc.
Depending on where you're coming from, I would shoot to arrive Thurs. evening or early Friday morning. I'd plan to depart Monday morning.
As for what to expect, I'll defer to current/past parents. But, generally, there is a parade on Friday afternoon. You can visit your plebe's room, meet the Company Officer, etc. You can eat in King Hall with your mid (but I can promise that your mid wants to eat ANYWHERE other than King Hall -- skip that for another time
). You can tour a real Navy ship, visit academic buildings, attend a religious service, go to the Mid Store, etc.
You may want to do all of this. Your plebe, however, will want to do only the minimum required events and spend time with you in a hotel room, eating at restaurants or room service, watching TV, sleeping, etc.
Remember, this is a 4-yr journey. There will be other times to do most of the stuff on the Yard. I recommend you focus on what your plebe wants to do vs. what you want to do. Just my recommendation.