If you want to witness what architecture is about, visit SCI-Arc. This is where I went to school ,and I can tell you there is not one day that you will not be surprise what goes on inside this school. From open to the public lectures every wednesday to galleries and installation, and not to mention the student work.
I had a studio in this neighborhood for 3 years. Just take your camera and spend a couple hours walking around admiring the colors and people and odd shops.
Malibu's Point Dume Beach has got to be my favorite all time beach. Its a great place to get away from the city and leave your troubles behind. The beach mostly is a private, but you will definitely find beautiful seals and surfers.