grad vs Ivy Leaguer

grad and Ivy Leaguer both are nouns.

Word	Noun	Adjective	Verb	Adverb
grad	Yes	No	No	No
Ivy Leaguer	Yes	No	No	No

As nouns, Ivy Leaguer is a hyponym of grad; that is, Ivy Leaguer is a word with a more specific, narrower meaning than grad:

grad: a person who has received a degree from a school (high school or college or university)
Ivy Leaguer: a graduate at an Ivy League school

Other hyponyms of grad include old boy, alumnus, alumna.

grad (noun)	Ivy Leaguer (noun)
a person who has received a degree from a school (high school or college or university)	a student at an Ivy League school
one-hundredth of a right angle	a graduate at an Ivy League school