Twitter is not an effective monopoly though. With great power comes great antitrust regulation.
Purely from a commonsense point of view however there is no such thing as a monopoly on information retrieval.
http://www.washingtonpost.com/business/economy/google-faces-...
http://betanews.com/2012/01/10/googles-new-personalized-sear...
In any case, the one who should be worried is facebook, not twitter. It's also interesting to note how google is going at greater lengths to promote G+ than it did with any of its products before.
And what about innocent until proven guilty?