We're all living in a Google world. Since Google is the overwhelming choice of users for search, how Google search works is how your company's search should work too. Unless you're in a very specialized niche, it doesn't pay for your website or intranet to deviate from Google conventions.
However, there's a catch. Users conditioned by Google search won't just want your search to look the same (that is, prioritized results on a new page). They'll want your search to work the same. Specifically, they want to dump any jumble of words into a search box and get useful results. Gone are the days when people inserted Boolean terms and used quotes around search phrases. Google's easy effort/reward ratio has made most of us lazy searchers. But since you don't have terabytes of Internet data to search and years of history to draw upon, lazy searches of, say, your product's Help won't give good results like Google would.
Hence the odd state of affairs today -- it's easier to find what you need on free Google search than it is in products you pay for. To get comparable results, some businesses invest in special solutions. There are established vendors like Microsoft and FAST or relatively new specialists to choose from, including Endeca and Vivismo.
Of course, they could also use Google's business services. Or, the most direct solution of all is to optimize your website for search engines and accept that most people will find your web content that way.