Besides being an architectural masterpiece, The Getty Research Institute is the perfect place to practice your your geometric photography skills. What am I talking about? I'm talking about clean lines and simplicity that generally lead to better photos. In other words, think of your photos more in terms of graphic design, with a few clean shapes, solid colors or smooth gradients.
John Shaw goes on a bit about this near the end of his Landscape Photography book when talking about the Palouse region of Washington. The book may be out of print now, but its lessons on composition still apply. It also has one of the best explanations of exposure (i.e. what "stops" are) that I've ever read.
Anyway, back to the Getty. Absolutely go there, enjoy the architecture, and start thinking of your photos more in terms of clean, abstract graphic designs.
My shots here were mostly taken with the 5D and 50/1.8, but you really don't need anything more than a point-and-shoot to take advantage of the amazing architecture. I feel like these photos only scratch the surface of possibilities at The Getty.