residence hall vs student residence

residence hall and student residence both are nouns.

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

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

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

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

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