I applied last year (to start Fall 2005). I applied right on the deadline date (had my materials transferred from my UConn Med application) and it took several months to hear back from the program.
As a word of caution, my understanding is that UConn's Post-Bacc is a rather small program. I was rather dejected when I found out I had been rejected from the program (after getting an interview at UConn during my med school applications), but was comforted somewhat to know that they accept very few students. If you're from Connecticut, you may just want to enroll in courses at Storrs on your own.