French Academy vs academy

French Academy and academy both are nouns.

Word	Noun	Adjective	Verb	Adverb
French Academy	Yes	No	No	No
academy	Yes	No	No	No

As nouns, academy is a hypernym of French Academy; that is, academy is a word with a broader meaning than French Academy:

French Academy: an honorary group of French writers and thinkers supported by the French government
academy: an institution for the advancement of art or science or literature

Other hypernyms of French Academy include honorary society.

French Academy (noun)	academy (noun)
an honorary group of French writers and thinkers supported by the French government	a learned establishment for the advancement of knowledge
	a secondary school (usually private)
	a school for special training
	an institution for the advancement of art or science or literature