formality vs conformity

formality and conformity both are nouns.

Word	Noun	Adjective	Verb	Adverb
formality	Yes	No	No	No
conformity	Yes	No	No	No

As nouns, conformity is a hypernym of formality; that is, conformity is a word with a broader meaning than formality:

Other hypernyms of formality include abidance, compliance, conformation.

formality (noun)	conformity (noun)
compliance with formal rules	acting according to certain accepted standards
a manner that strictly observes all forms and ceremonies	hardened conventionality
a requirement of etiquette or custom	correspondence in form or appearance
	orthodoxy in thoughts and belief
	concurrence of opinion