I'm on a few threads about art at FE/HE and like to be well-informed on the subject as I also help with UCAS in a school.
CSVPA was founded in 1985 and runs courses at sixth-form and FE level, as well as degrees (originally validated by Kingston, and now by Falmouth, two good art schools). It's not to be confused with Cambridge School of Art, a Victorian institution which is now part of Anglia Ruskin University while retaining its own identity.
(Neither CSVPA or CSA have any formal connection to Cambridge University.)
The website has raised various head-scratching questions for me. For instance, its accommodation (provided for all three years) is incredibly expensive compared to the other Cambridge universities, and it charges £22k-£33k in fees (home/international) for the one-year UAL "Foundation in Art and Design" qualification which is, umm, free to UK under-19s at all FE colleges and most universities which offer it.
It has some lovely buildings just north of Cambridge city centre, drama/dance studios near ARU, and now it is expanding into a big new site just off Jesus Green, so obviously it's turning a healthy profit. Is it mainly aimed at the international market?