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Cristiano Ronaldo had a chance to put the home side ahead 11 minutes into the match, but his curled effort was kept out by the crossbar.
Benzema found the target himself six minutes later, drilling the ball in low from a Ronaldo cross.
Ronaldo had a chance to add his second later in the half when Carlo Ancelotti's side were awarded a penalty after Markel Bergara handled the ball in the area, allowing the forward to covert from the spot.
Ronaldo had a chance to complete his hat-trick in stoppage time, but his headed effort from an Alvaro Arbeloa cross was saved by Bravo.