market vs grocery

market and grocery both are nouns.

Word	Noun	Adjective	Verb	Adverb
market	Yes	No	Yes	No
grocery	Yes	No	No	No

As nouns, market and grocery are synonyms defined as:

Other synonyms of market include food market, grocery store.

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

market (noun)	grocery (noun)
the world of commercial activity where goods and services are bought and sold	a marketplace where groceries are sold
a marketplace where groceries are sold	(usually plural) consumer goods sold by a grocer
an area in a town where a public mercantile establishment is set up
the customers for a particular product or service
the securities markets in the aggregate

market (verb)	grocery (verb)
make commercial
engage in the commercial promotion, sale, or distribution of
deal in a market
buy household supplies