I'm not going to be much help here, but this year has been anything BUT normal in Southern California. We've had 90 degrees in November and more rain then we've had in a long time. The weather forecast you're looking at is going to be much more accurate than anything you may read about here, especially for something as close as next week.
One thing you can expect is what we call June gloom. The mornings are generally overcast but that usually moves out to blue skys by late morning.
I don't expect things to start getting really hot until July and definately by August, but again, we've been much different throughout the last 12 months than what I generally remember.
I know you've probably heard this before too, but the humidity here is also much different than what you may be used to. While not as dry as the deserts of Arizona, we are not nearly as humid as what you might be used to. That means it will not feel as hot but it also means you should plan on drinking more water than you may be used to.
