To run a background check on someone using a search engine.
While a Web search is limited only to discovering a person's Web footprint, a search of a person's name might be useful in preliminary research in biz dev. Or, if you can believe Deborah Schoeneman of the New York Observer, prospective dates, when she wrote the article, "Don't Be Shy, Ladies—Google Him!"
Cf. SharQ's note re: the Oxford English Dictionary's definition.
New York Observer, January 1, 2001.
Or this example, from a skit on Harry Shearer's Le Show: