Gymnasium vs lycee

Gymnasium and lycee both are nouns.

Word	Noun	Adjective	Verb	Adverb
Gymnasium	Yes	No	No	No
lycee	Yes	No	No	No

As nouns, Gymnasium and lycee are synonyms defined as:

Gymnasium and lycee: a school for students intermediate between elementary school and college; usually grades 9 to 12

Other synonyms of Gymnasium include lyceum, middle school, secondary school.

Gymnasium (noun)	lycee (noun)
a school for students intermediate between elementary school and college; usually grades 9 to 12	a school for students intermediate between elementary school and college; usually grades 9 to 12