My 2 cents....
I have ridden into L.A. to spend the weekend and hit town at rush hour on Friday afternoon. As Puppychow says, No bueno. Lane splitting is a benefit, but traffic can be so slow and thick that it is very fatiguing. But I would agree with those above that you should just get on the 5 or 405 and cut straight through. Even if you were to swing wide, there's no guarantee that you won't run into problems out there, whether it's traffic or an accident. But all things considered, it'd be best if you could shoot for mid-day if a weekday, or a weekend.
Regarding the coast route, as Jerry said, Big Sur is nice, with some of the more spectacular bridge-cliff views. But you have to be patient. It's the go-to route, so there can be a lot of slow-moving tourists, including RVs. You can't be in a hurry or you may wind up making poor passing decisions, because there aren't all that many great passing opportunities. In any event, if you take 1, be cautious as you go south around left-hand curves where there are scenic pull-outs to your right: cars coming north around the blind curve in front of you may shoot across your path to get into the pull-outs.
Once in L.A., the South Bay (Torrance, Redondo, Hermosa, Palos Verdes) is really nice. Maybe Fairlaner can show you the way south around the Palos Verdes Peninsula to San Pedro. Beautiful country!
I like 101 between the Bay Area and L.A.: It's beautiful, mellow, and wide open. I'll be heading down 101 Friday morning to get to Santa Barbara, then Saturday down into L.A.
Let us know when you're in San Jose. Maybe we can get together for a meet and greet. Depending on timing, we could show you some of the rides we like around these parts.