I visited the J. Paul Getty Villa in Malibu, California in the late '80s as a teenager and experienced my first "moved by an amazing piece of art" moment while viewing Vincent van Gogh's "Irises." Something I will never forget. http://www.getty.edu/art/gettyguide/artObjectDetails?artobj=947
The Getty Center in Los Angeles presents the Getty's collection of Western art from the Middle Ages to the present against a backdrop of dramatic architecture, tranquil gardens, and breathtaking views. Admission to the Getty Center and to all exhibitions is FREE; no tickets or reservations are required for general admission. Additional cost for parking.