golf vs golf game

golf and golf game both are nouns.

Word	Noun	Adjective	Verb	Adverb
golf	Yes	No	Yes	No
golf game	Yes	No	No	No

As nouns, golf and golf game are synonyms defined as:

golf and golf game: a game played on a large open course with 9 or 18 holes; the object is use as few strokes as possible in playing all the holes

golf (noun)	golf game (noun)
a game played on a large open course with 9 or 18 holes; the object is use as few strokes as possible in playing all the holes	a game played on a large open course with 9 or 18 holes; the object is use as few strokes as possible in playing all the holes

golf (verb)	golf game (verb)
play golf