stargaze vs daydream

stargaze is not a noun while daydream is a noun.

Word	Noun	Adjective	Verb	Adverb
stargaze	No	No	Yes	No
daydream	Yes	No	Yes	No

As verbs, stargaze and daydream are synonyms defined as:

Other synonyms of stargaze include dream, woolgather.

stargaze (noun)	daydream (noun)
	absentminded dreaming while awake

stargaze (verb)	daydream (verb)
have a daydream; indulge in a fantasy	have a daydream; indulge in a fantasy
observe the stars	have dreamlike musings or fantasies while awake