law student vs student

law student and student both are nouns.

Word	Noun	Adjective	Verb	Adverb
law student	Yes	No	No	No
student	Yes	No	No	No

As nouns, student is a hypernym of law student; that is, student is a word with a broader meaning than law student:

Other hypernyms of law student include educatee, pupil.

law student (noun)	student (noun)
a student in law school	a learner who is enrolled in an educational institution
	someone (especially a child) who learns (as from a teacher) or takes up knowledge or beliefs