florist vs florist shop

florist and florist shop both are nouns.

Word	Noun	Adjective	Verb	Adverb
florist	Yes	No	No	No
florist shop	Yes	No	No	No

As nouns, florist and florist shop are synonyms defined as:

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

Other synonyms of florist include flower store.

florist (noun)	florist shop (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