Cher is the latest celeb to take quarters in West Hollywood’s Sierra Towers, the 32-story complex built in 1964 and currently enjoying renewed popularity. Lindsay Lohan and Matthew Perry bought in recently, Kate Moss almost did, and Cher’s one-bedroom, two-story unit was previously owned by David Geffen and Vincent Gallo, from whom Cher bought it for $4.5 million. It’s the only two-story in the place and, like all the other units, has unobstructed views and an eight-foot-wide terrace. The diva, who lives in Malibu, plans to gut and completely redo the apartment and use it as a pied-a-terre when she’s in town. You know how she likes to gut and redo.