UC and out of state admissions [CA resident, 4.0 GPA, 1470 SAT, biomedical engineering]

You can get an idea of UC admission by campus and broad discipline (engineering, not specifically biomedical engineering, which can be more competitive than engineering majors overall) here, but you need to recalculate your weighted-capped GPA to compare with the GPA ranges:

For SJSU, assuming no college courses in high school, your GPA for CSU is the same as the UC weighted-capped GPA. Multiply by 800, add 400 * your math GPA, and add 200 if you will graduate a high school in Santa Clara County to get your SJSU index. Then compare to last year’s threshold to estimate chances at SJSU: