I think its just a renamed UC Extension "Open Campus" program where they might add in some pre-health profession advice. Otherwise UCB would've made its own post-bacc program, rather than use its Extension. On their official site, they do not mention any program (
http://career.berkeley.edu/article/050211b-hh.stm) other than the ones from other schools.
All UC Extension's are essentially their own college, and operate more or less independently from the main campus. There might be two outcomes to this. You take UCB courses on their campus, or you take courses offered at the Extension facility itself. The former would mean you'll have last priority to register for a class since UCB students must take priority for obvious reasons, while the latter means less classes to choose from.
If its anything like taking Open Campus courses from UCD Extension, it will cost an arm and a leg. About $175/unit for undergrad courses. Most classes at UCD are 3 units, so taking two classes would cost you around $1050! Whereas undergrads pay what.....$1800 these days and take up to 21 units or something of class. Its more or less a rip off, but you sometimes gotta do what you gotta do. Are there any reasons why you have ruled out post-bacc programs at UCSF, SFSU, SJSU, and Mill's College? Not all are for URMs.