With how it looks in other countries, most likely you'll pay for basic internet connection. (what you pay now)
Then you pay to be allowed to access sites based on content.

Example:

All music related stuff, like itunes store, pandora
All Video related stuff, like youtube, twitch
All Social Media stuff, facebook, twitter
All "call" related stuff, like skype
All video game access, MMO etc

Which is either $2~ a day, or something like $30~ a month for 1 of these categories, and if u want them all, a small discount of $130 on top of your normal internet cost.

Then if you want a video to actually load. (if you have AT&T right now, you'll see how impossible it is to watch a youtube video in 240p, as it takes nearly 20 mins to load 5mins) you'll need to pay for your current speed, by another $10 most likely, or more.

But, thats based on other countries, and what little I remember. I might have the numbers wrong, and I'm too lazy to look them up again.