student residence vs residence hall

student residence and residence hall both are nouns.

Word	Noun	Adjective	Verb	Adverb
student residence	Yes	No	No	No
residence hall	Yes	No	No	No

As nouns, student residence and residence hall are synonyms defined as:

student residence and residence hall: a college or university building containing living quarters for students

Other synonyms of student residence include dorm, dormitory, hall.

student residence (noun)	residence hall (noun)
a college or university building containing living quarters for students	a college or university building containing living quarters for students