gesture vs shrug

gesture and shrug both are nouns.

Word	Noun	Adjective	Verb	Adverb
gesture	Yes	No	Yes	No
shrug	Yes	No	Yes	No

As nouns, shrug is a hyponym of gesture; that is, shrug is a word with a more specific, narrower meaning than gesture:

gesture: the use of movements (especially of the hands) to communicate familiar or prearranged signals
shrug: a gesture involving the shoulders

As verbs, shrug is a hyponym of gesture; that is, shrug is a word with a more specific, narrower meaning than gesture:

gesture (noun)	shrug (noun)
motion of hands or body to emphasize or help to express a thought or feeling	a gesture involving the shoulders
something done as an indication of intention
the use of movements (especially of the hands) to communicate familiar or prearranged signals

gesture (verb)	shrug (verb)
show, express or direct through movement	raise one's shoulders to indicate indifference or resignation