Brain like Berkeley
Berkeley is obviously home to UC Berkeley (aka “Cal”). Brain also means oral sex, so in the classical rap sense he is saying she is very skilled at giving head. But he might also be turning the common rap phase on itself and saying she’s actually very smart.
Also, Berkeley has a very liberal history, which is in line with the Coachella festival mentioned next.
For dental school she’d have to go to UCSF (Berkeley doesn’t have a dental program..)
Also, George Berkeley is a famous philosopher, who believed everything is subjective (viz. only in the mind). Ocean is suggesting that this girl may not be real or just a figment of his imagination (she does seem quite idealistic). See the music video of this song for clarification on this point.
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