General store as a noun:
A store which sells a large variety of useful things, without specializing highly in any particular type of merchandise, and which is not departmentalized.
Grocery as a noun (usually [[groceries]]):
retail foodstuffs and other household supplies.
Grocery as a noun:
A shop or store that sells groceries; a grocery store.
Grocery as a verb (intransitive):
To go grocery shopping.
Grocery as a verb (transitive):
To furnish with groceries.