Check with UC whether IGETC is accepted for frosh. If so, then it will cover general education requirements as described at Campus guidance | UC Admissions . Even if it does not, the individual courses you took as part of completing IGETC can be applied to campus general education categories if they match.
IGETC for CSU is mostly the same except that the version for CSU has an oral communication course but does not have foreign language. However, CSU general education requirements are substantially the same as IGETC, so even if IGETC is not accepted per se, having it means having courses that match up well to CSU general education requirements.