The Lakers and Clippers often play doubleheaders at Staples Center, having played back-to-back games on the same day almost 60 times as of 2012. Most of the doubleheaders have occurred on a Saturday or Sunday, where afternoon games are common. Usually, since the Lakers are partially owned by Staples Center owner AEG ,The Clippers will play at 12:30 PST while the Lakers then play at 7;30 PST. Separate admission is required for each game, with each team playing a different opponent. In between games, the court is reassembled with the respective home team's floor, which differ only in their paint scheme. Outside of Los Angeles, the last doubleheader in the NBA was in 1972 at Seattle Center Coliseum, when the Portland Trail Blazers played the Houston Rockets and the Seattle SuperSonics played the Philadelphia 76ers.

Is it true that does the lakers and clippers share a court?
yes