There are local, state granted monopolies on internet service.  For instance, I only have one option for a high-speed provider in my hometown.  

Monopoly is complete control of a market of any size, it doesn't need to be a national monopoly.

You may have other options in your area, but that's the exception more than the rule.  By the way, Verizon is fighting a case right now claiming that they have "editorial control" over what their customers see.  So obviously some people who work in the industry disagree with your assessment.