Why would you connect the two airports if the point is supposed to be that you don’t have to use the airports?
What? That sounded pretty hinky to me so I looked at the wiki page. The only airport included in Phase 1 is Burbank. Phase 2 includes proposed station at San Diego and Ontario airports. Soooo no, there's no direct service to any Bay Area airport or LAX. Being able to stop right in the heart of the destination city is one of the key advantages of rail.https://en.wikipedia.org/wiki/California_High-Speed_Rail#Pha...
There are, however, stations in downtown San Francisco, San Jose, and Los Angeles.
Edit: And just to throw a bone to the anti-HSR folks: the downtown SF situation is still a clusterfuck the net result of which is a billion dollar bus station and a poorly connected (4th/King) rail station. There's a ton of related stuff that needs to be fixed, but needs to be fixed is still better than never going to happen.