I can't find a trailer, but here's Lucille Ball doing her version of a hula dance:
Senses of Cinema says, "Dance, Girl, Dance is a milestone in the dance film and musical" and says it "could be classed as high camp, but it has much more to offer than this implies".
The New Yorker says,
The movie lives up to its title—its subject really is dancing. Arzner films it with fascination and enthusiasm, and the choreography is marked by the point of view of the spectators and the dancers’ awareness that they’re being watched.This film is included in the book 1,001 Movies You Must See Before You Die. Rotten Tomatoes has a critics score of 80%. FilmReference.com has an article.