I haven't recently helped any students who have transferred from our CC to a B.Arch program, but I have in the past. They typically take some of the prerequisite courses like English composition, humanities, math, science, and economics before transferring. After they transferred, they had to pick up the lower-level architecture courses, as our CC didn't have any major courses. In this case, they did not earn an associate degree, as there was no specific pathway. The university in this case was ASU, which has a decent architecture program which is somewhat difficult to get into.
If you are in California, you should definitely check with your advisor to see about the transfer agreements with universities that have a B.Arch program.