Dagny wakes up amid the rubble of the plane crash and is rescued by (ta da) John Galt. He introduces her to "The Gulch" and the disappeared people who have occupied same. She's not sure (since she got there accidentally) whether she wants to stay, but gets a sound introduction to her (proposed) new life. However, she decides she still needs to return to NY to smack her brother with a couple of 2 x 4's and John has to go with her to keep an eye on her (figuratively and literally).
They gin up the typical necessary sex scenes required by Hollywood and then devise a plan to take down the "People's State of America" and His Holyness, General Leader, Mr Thompson, and then go back and live happy ever after when she takes the oath to live for one's self instead of kissing up to the socialist state.
That's the gist
Oh yeah, and John Galt is portrayed as a Beech 18 pilot