florist vs flower store

florist and flower store both are nouns.

Word	Noun	Adjective	Verb	Adverb
florist	Yes	No	No	No
flower store	Yes	No	No	No

As nouns, florist and flower store are synonyms defined as:

florist and flower store: a shop where flowers and ornamental plants are sold

Other synonyms of florist include florist shop.

florist (noun)	flower store (noun)
a shop where flowers and ornamental plants are sold	a shop where flowers and ornamental plants are sold
someone who grows and deals in flowers