UCLA is located within walking or short driving distance to Westwood Village, with convenient fast casual dining options, along with a Target, CVS, Whole Foods, Trader Joe's and Ralphs supermarket.
While impossible to offer a comprehensive list, here is a sampling of popular Los Angeles sights and activities:
Museums: Fowler Museum at UCLA, Hammer Museum at UCLA, Getty Museum, LACMA, The Academy Museum, MOCA, The Broad, California Science Center, Natural History Museum, La Brea Tar Pits, Petersen Automotive Museum, Wende Museum, Museum of Jurassic Technology
Places to Explore: Griffith Park, Griffith Observatory, Watts Towers, Santa Monica Beach, Venice Boardwalk & Canals, Downtown Central Library, Grand Central Market, Atlas Obscura suggestions
Events calendar: LAist