As a beginner student, who is only going to loop around the airfield for her solo flight, Bee would not need to learn all of the pre-flight preparation and safety checks that Mr. McDonald went into outside the cockpit.
They removed the door on the Cessna to shoot Aunt Bee at the controls when she flew solo. You aren't supposed to see the weatherstripping from the outside.
The cookies were not baked in Aunt Bee's kitchen, they were obviously factory-made.
The show is set in Mayberry, a fictional town in North Carolina, but the geography around the airport, including the smoke stacks in the background, clearly show that this is the San Fernando Valley.
Bee laments that she's never done anything special in her life; something that not many people have done before. She's forgetting the fact that she was the grand prize winner on a national game show, receiving a kitchen full of appliances, and a mink coat. Or that she was instrumental in facilitating a detente between the Soviet Union and the United States in her own kitchen just two episodes earlier.