A right is a liberty, a freedom to do something without the government interfering.
The internet is a service, someone's labor for which they need compensation.
You never have a right to another person's services or goods. At best you could say it's a good idea to pool resources. Even that involves forcing those who do not want to pool resources into giving up their resources. As a result, a byproduct of pooling resources is a gradual reduction of individuals choosing what to do with their own resources.
It worries me that so many politicians are giving away our resources as if it's a gift (we're paying for it after all, not the politician) and calling that "gift" a right. In this case, I can get internet access without the government "gifting" me with it. A program to make internet available to all areas is certainly a better way to frame the proposal (but not for free).