Law school acceptance depends on undergrad GPA/degree/esteem of school/and LSAT You can get into a good law school if you go to a CSU, but you would need a 4.0 in a difficult major and a top LSAT score.
The law school will not care if your kid went to JC for two years and then transferred to a good UC. They will only see the UC.
Here is the biggest trap. Unless your kid gets into a top 40 law school, the cost/benefit of becoming a lawyer (for purely financial reasons) does not make sense. Lots of lawyers out there making 60K with 160K in debt.