peeve vs get to

peeve is a noun but get to is not a noun.

Word	Noun	Adjective	Verb	Adverb
peeve	Yes	No	Yes	No
get to	No	No	Yes	No

As verbs, get to is a hypernym of peeve; that is, get to is a word with a broader meaning than peeve:

Other hypernyms of peeve include annoy, bother, chafe, devil, get at, gravel, irritate, nark, nettle, rag, rile, vex.

peeve (noun)	get to (noun)
an annoyed or irritated mood

peeve (verb)	get to (verb)
cause to be annoyed, irritated, or resentful	arrive at the point of
	cause annoyance in; disturb, especially by minor irritations
	reach a goal