Nice, smooth, centered landing, too.
He "wheeled" it. There are two techniques for landing a conventional gear (i.e. tailwheel) aircraft. The traditional way is to hold the aircraft off until it stalls, preferably close to the ground, and all three wheels plunk down simultaneously. This is known as "three-point landing" for obvious reasons and it's the quickest way to get a plane down and stopped. The other way is to fly the main wheels onto the ground before the plane stalls and let the speed bleed off until the tail comes down. This is known as a "wheel landing." These days just about everybody does wheel landings because it's easier to hold the airplane straight. It makes for a longer landing roll but the higher speed gives you better rudder control so it's easier to hold the airplane straight – and runway length is seldom an issue. In Earhart's day, and right up through WWII, three-pointing was standard, but in probably a hundred airshows, I've never seen anyone three-point a P-51.