hunting vs looking for

hunting and looking for both are nouns.

Word	Noun	Adjective	Verb	Adverb
hunting	Yes	No	No	No
looking for	Yes	No	No	No

As nouns, looking for is a hyponym of hunting; that is, looking for is a word with a more specific, narrower meaning than hunting:

hunting: the activity of looking thoroughly in order to find something or someone
looking for: the act of searching visually

hunting (noun)	looking for (noun)
the work of finding and killing or capturing animals for food or pelts	the act of searching visually
the pursuit and killing or capture of wild animals regarded as a sport
the activity of looking thoroughly in order to find something or someone