search vs google

search is a noun but google is not a noun.

Word	Noun	Adjective	Verb	Adverb
search	Yes	No	Yes	No
google	No	No	Yes	No

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

search: inquire into
google: search the internet (for information) using the Google search engine

Other hyponyms of search include prospect, mapquest, re-explore, beat about, cast about, cast around.

search (noun)	google (noun)
the activity of looking thoroughly in order to find something or someone
boarding and inspecting a ship on the high seas
an investigation seeking answers
the examination of alternative hypotheses
an operation that determines whether one or more of a set of items has a specified property

search (verb)	google (verb)
inquire into	search the internet (for information) using the Google search engine
try to locate or discover, or try to establish the existence of
subject to a search
search or seek