Units cap -- high units major transfer to UCs

http://admission.universityofcalifornia.edu/counselors/transfer/advising/transferring-credits/index.html

Students will be granted up to 70 sem/105 qtr units of credit for lower division coursework completed at any institution or any combination of institutions. For units beyond the maximum, subject credit for appropriate coursework taken in excess of this unit limitation will be granted and may be used to satisfy requirements.

So yes it sounds like you should continue any GE classes - you would be maxed out at 105 quarter units you could bring over to be applied towards graduation, but you would still get subject credit.