The information we received with it had a hotel right off the academy ground that you could arrange transportation to the day before (I don't recall if you had to pay extra), and had a time that they would pick you up the first morning and bring you onto the Academy. It also said they would accept students under the age of 18.
My son will be flying out the day of so we're hoping for the best. He'll be coming back from the West Point Seminar on Friday, so we're trying to have him get as much rest as he can before flying out Monday morning!