Here's what will happen... You know how, when you sign up for cell service, the price is $100? But when you get your bill, it's more like $150? That extra $50 are taxes and "fees."
The same will not be true with internet service. There will be taxes paid to the government just to run a "net neutrality" program of thousands of government employees. There will be "universal access" fees, which means that you are paying for someone else to get free internet.
It will also mean that internet companies will be forbidden from having partnerships that would bring enhanced services. For example, it is now illegal for your internet company to provide increased bandwidth for you to watch Netflix videos. Maybe you don't see this as an issue, but it means that, overall, either all services (including Netflix) will suffer or your rates will go up.
So, not only will you be seeing higher bills dues to taxes, but you'll be seeing higher bills overall to keep up with your provider not being able to make deals that lower your costs.
Except, of course, the government won't let them raise prices that quickly. So, instead, you will see more throttling (of everything), lower speeds (of everything), and generally worse service.
So, if you like paying more for less... this is a good thing. If you like competition, lower bills, and getting superior service for things you care about (like Netflix), then this is bad.