I would call this a musical. It has only a few songs, but then again, it's a fairly short movie. It's reasonably pleasant, though no one would call it great.
I suspect "Where Did You Get That Girl?" is so little known because star Helen Parrish is not well enough remembered. She was beautiful and very talented, but died young.
The story is about a swing band and a female vocalist (Parrish) trying to break into the big time. Gangsters get involved, and there are lots of comic mix-ups until everything is resolved. If you like Leon Errol's unsubtle brand of humor, you'll get some laughs. (He's the bald guy with the perpetually harried expression.)
The title song will probably seem familiar. It was written decades before this movie by Bert Kalmar and Harry Puck. Later, in 1950, it was used as the opening number in "Three Little Words," the biopic about Kalmar's collaboration with Harry Ruby.