music genre vs genre

music genre and genre both are nouns.

Word	Noun	Adjective	Verb	Adverb
music genre	Yes	No	No	No
genre	Yes	No	No	No

As nouns, genre is a hypernym of music genre; that is, genre is a word with a broader meaning than music genre:

Other hypernyms of music genre include music.

music genre (noun)	genre (noun)
an expressive style of music	a class of art (or artistic endeavor) having a characteristic form or technique
	a kind of literary or artistic work
	a style of expressing yourself in writing