Continuity mistake: Dorothy's giant lollipop disappears after the witch appears.
Continuity mistake: When Prof. Marvel holds the photograph, his fingers disappear in the close-up.
Continuity mistake: As the Professor is revealed behind the curtain, his right hand is busily working one of the silver levers. A second later, it's working one of the red levers above the big dial.
Audio problem: When Dorothy first meets the Scarecrow, you hear Scarecrow talk about the directions, but his mouth doesn't move.
Answer: In the film it's left ambiguous. At the end it's strongly implied that she was dreaming. The characters she meets all look like people she actually knows. In the original book, she actually went to Oz.