Is there a difference between a Stanford or UCB CS degree and one from San Jose State? Yes. BUT, the need for a more “prestigious degree” depends on WHAT you want to do (working for any CS company is different from wanting to work for Apple/Amazon/Microsoft or create your own startup etc.) You would have to provide more information about your stats and application profile (extracurriculars, GPA, test scores if you have them etc.) for @Gumbymom or anyone else on CC to provide you with schools that fit your profile.
I am assuming you are in-state, but even then, CS at CalpolySLO is one of, if not the most, competitive majors to be admitted to—the applicants admitted to CS will be very different from the general application pool.
Hope that helps! Good luck with admissions!