The parent's point was that a) is not true for Google as a search engine.
b) doesn't seem to be true either; while money and experience can make you provide better search results, you don't get an advantage just from a high current percentage of searches.
In a trivial sense you can "SilasX has a monopoly on SilasX's labor" or "Joe Schmoe has a monopoly on hot dogs sold at Elm & Main St". That's not the monopoly anyone cares about. What matters is whether it's difficult to bring online the alternatives to employing my labor or buying a hot dog in that vicinity. In that respect, Google's monopoly on search is not the worrisome kind of thing we associate with monopolies.