I don’t know what people with an MA in Linguistics or Computational Linguistics do, but you (or anyone else) should have a clear plan in mind for how to use their Master degree since any MA/MS is a more narrowed study of a field. As a xfer you have until June 1st to make a decision where to enroll. I suggest you contact the graduate advisor at UCLA and UCSC to see how recent grads have fared in pursuing your goals.
Furthermore @Yomama12 has a valid point, which makes me concerned you haven’t looked into this near enough. For many majors your degree choices at a UC are bachelors or PhD. The Masters is a consolation prize given to those bounced out of the PhD program. And UCLA Linguistics sounds like this.
From what you’ve written you haven’t had a lot of advising with regards to this major. Since you live in the Bay Area I suggest you contact the undergrad advisor at Cal or UCSC to set up an appointment to talk. At UCSC the page is Getting Advice and Guidance and Cal is Advisors and office hours | Linguistics Setting up an appt would be better than drop-in. Now is not the time to be intimidated about contacting them (not that I know that you are) even though you are not a current student. A friend was interested in transferring to Cal or UCI a few years ago and as a sophomore was able to set up meeting with the advisors at those schools.