UCLA campus
Franklin D. Murphy Sculpture Garden: Free, northeast UCLA campus south of MacGowan Hall (map at link).
Mildred E. Mathias Botanical Garden: Free, southeast UCLA campus, south of Mira Hershey Hall, map at link.
UCLA Planetarium and Telescope Shows: Free, Math/Sciences building, map at link. Shows are scheduled most Wednesday evenings.
UCLA Fowler Museum: Free, open Wednesday, Thursday, and Friday afternoons from 12 noon to 5:00pm.
Westwood Village
UCLA Hammer Museum: Free. 10899 Wilshire Blvd. between Westwood Blvd. and Glendon Ave. Walk from UCLA or take Santa Monica Big Blue Bus #1, #8, #12 from the west corner of Westholme and Hilgard Ave. ($1.00 fare), disembark at Lindbrook Ave. and Westwood Blvd., museum is across the street.
Westwood Village: Shopping and dining options just south of UCLA. Walk from UCLA or take Santa Monica Big Blue Bus #1, #2, #3M, #8, #12 from the west corner of Westholme and Hilgard Ave. ($1.00 fare), disembark at Weyburn Ave. and Westwood Blvd.
Westside
J. Paul Getty Museum: Free, closed Tuesdays. 1200 N. Sepulveda Blvd., Los Angeles 90049. By bus take the Metro #734 from the east corner of Westholme and Hilgard Ave., bus stop is in front of an apartment building (bus should say "Sylmar Station" on front display not "Westwood", $1.75 fare) and disembark at Getty Center Drive.
Downtown Santa Monica and Third Street Promenade: Shopping and dining options in downtown Santa Monica, open-air mall. Three blocks from the beach. Take Santa Monica Big Blue Bus #1 from the west corner of Westholme and Hilgard Ave. ($1.00 fare), disembark at Santa Monica Blvd. and Third Street.
Historic Santa Monica Pier: Amusement park, aquarium shopping, dining. Take Santa Monica Big Blue Bus #1 from the west corner of Westholme and Hilgard Ave. ($1.00 fare), disembark at Ocean and Colorado Ave. in Santa Monica.
Miracle Mile
Los Angeles County Museum of Art (LACMA): Closed Wednesdays. 5905 Wilshire Boulevard, Los Angeles, CA 90036, corner of Wilshire Blvd. and Ogden Ave. Take Santa Monica Big Blue Bus #1, #8, #12 from the west corner of Westholme and Hilgard Ave. ($1.00 fare), disembark at Wilshire and Westwood Blvd, then take the Metro #720 Rapid or the Metro #20 local bus ($1.75 fare) to Wilshire Blvd. and Fairfax Ave.
Page Museum and La Brea Tar Pits: No charge for the La Brea Tar Pits, admission fee for the Page Museum. Located next to LACMA, use same bus route information.
Hollywood
Hollywood Blvd., Grauman's Chinese Theater: Various sites relating to the history of the motion picture industry. No charge to view the stars on the Hollywood Walk of Fame or the forecourt of Grauman's Chinese Theater. Take the Metro #2/302 from the east corner of Westholme and Hilgard Ave. ($1.75 fare), travel north on Hilgard and then eastbound on Sunset Blvd. to Fairfax Ave. and Sunset Blvd. change to the Metro #217 northbound ($1.75 fare) at the southeast corner of Fairfax and Sunset to go to Hollywood. Disembark at Hollywood Blvd./Gardner Ave. or Hollywood Blvd. Highland Ave.
Exposition Park
Exposition Park includes the California Science Center, where you can view the Endeavour Space Shuttle and other exhibits; the Natural History Museum of Los Angeles County; and the Rose Garden. USC is across the street. Take the Santa Monica Big Blue Bus #12 from the west corner of Westholme and Hilgard Ave. ($1.00 fare), disembark at the Expo Culver City Station, then take the Metro Expo Line. Note: the Expo Light Rail line requires a TAP card and does not accept coins or paper bills. You can purchase a TAP Card at the Culver Expo station. Disembark at Expo/Vermont for the Natural History Museum or Expo Park/USC for the Science Center or Rose Garden.