summer school vs school term

summer school and school term both are nouns.

Word	Noun	Adjective	Verb	Adverb
summer school	Yes	No	No	No
school term	Yes	No	No	No

As nouns, school term is a hypernym of summer school; that is, school term is a word with a broader meaning than summer school:

summer school: an academic session during the summer; usually for remedial or supplementary study
school term: the time during which a school holds classes

Other hypernyms of summer school include academic session, academic term, session.

summer school (noun)	school term (noun)
an academic session during the summer; usually for remedial or supplementary study	the time during which a school holds classes