They can start seeing your app on July 1.
Give them some time for processing, and you'll be getting non-screened secondaries in early-mid July.
Give yourself some time to complete those, and you'll be turning in your secondaries in mid-late July.
LORs should be in by the time you return your secondaries.
And yup, I'm applying this cycle! I assume you are as well? Good luck...see you on the other side (or the interview trail!)