"Materialism" is not a right. You do not have a right to stuff. Free speech, the right to bear arms, a common trait of all things that are actually rights is that they do not cost money. They are intangible.
If the common trait of all things that are actually rights is that they do not cost money, then why do you include the right to have weapons on your list? Last time I checked, they were far from free, and shouldn't be on your list at all. Furthermore, I'm going to ignore all of your god talk, because these rights were indeed invented by men. The idea of free speech is a concept dreamed up by man. It isn't tangible, so obviously man did not build it or make it, but I do not require God to have the right to free speech, life, etc.
I agree that materialism is not a right, but lumping electricity in with the right to buy stuff is a stretch. I have never seen an electric bill that doesn't include provisions for people who do not have to pay it under certain circumstances. For example, families with small children in the house, the elderly, (there are more exceptions) can request to not have their electricity cut off even if they can't pay the bill.
That example demonstrates that as a society we value electricity as something more than just a materialistic indulgence, and that's how it should be viewed. Electricity is necessary in the modern world to survive, and if we value some other rights such as the right to continue living, it is easy to extend a right to electricity to certain people in dire need of it to survive.
To bring this back onto the topic of broadband, in many ways it should be viewed as a right, but not in that everyone deserves to have access to it in their home. Internet access is an important and enriching aspect of our lives, and denying it to someone just because they are poor will simply create a knowledge gap between those who can afford internet and those who can't. But, as I said earlier, this doesn't mean everyone necessarily has a right to free internet in their home. We can satisfy the right to free internet by providing access in public libraries and schools, and ensuring that all communities and people have access to these resources.
Ultimately my argument comes down to one of a right to knowledge. Whether it is from books, classrooms, or the internet, this is an undeniable human right. And if the internet is the primary way to gain knowledge in our times, then we should ensure that people have access to it.