I'd think it works the same way it did for my DD. You'll get sent orders and an option to have them fly you out or you can make your own plans. The orders will have the date and time when you report. You can probably asked your admissions counselor to clarify how it works for people in the LEAD program. They've done this a few times, so I suspect they have it pretty well figured out.
I asked my liaison but the answer wasn't too straight forward, when did your DD report to the academy?
Everyone reports on the same day (so that's 25June for you.) Your orders will have your Squadron on it -- my DD was in Barbarians -- and the report time. The exception is if they want to spend a little extra time because of a medical waiver (which DD had.) So she reported at 0730 with the Aggressors.
They'll have everyone line up and you have checkpoints to stop at as you move forward -- paperwork, backpacks, etc. As you get to the front of the line, they take a group & you get to hear a short speech from Gen Johnson (or a representative.) Then you go into the AOG building. When you come out, you literally cross "the bridge" onto the bus and the fun begins.
Ok, that was way more info than you asked for!
Edit - we arrived in Colo Spgs about a week early only to try and acclimate to the altitude. I know of a couple of Basics who were late in reporting because of airline delays. If that happens, just call the point of contact on your orders and you'll be fine.