Would UC's take you out of running if they see a C and B I received during freshman year?

UC’s are going to look at all your grades but your UC GPA is the GPA they consider when evaluating your application. They will also look at HS course rigor including Senior year, your test scores, essays, EC’s, special talents etc… The UC website states the 14 areas of criteria used by the UC’s to review/evaluate your application but GPA is one of the most important areas for consideration.