No, it really isn't.
Free filtered internet means that all the people paying for a broadband line to read email, and occasionally browse the web, can now do so for free. Without the ~95% of customers who underuse their connections subsiding the cost of the ~5% who actually need broadband, ISPs will have to increase prices dramatically.
The end result is that only the financially well off will have access to anything the government feels like censoring on their network. And that's making the optimistic assumption that the censorship stops with government networks, and isn't extended, voluntarily or not, to the big ISPs.
What will happen to political speech when that happens? Given what we've seen of these kinds of filters thus far, they tend to pick up on key words, block entire sites for single pages, and generate a lot of what a reasonable person viewing a site would consider false positives. Will any site the agitates for the rights of sex workers, or transsexuals, or gays risk being marked as sexual content, and blocked from the vast majority of american voters? Will any site that discusses a hate crime risk being labeled as hate-speech, and excluded as well? How much harder will it be to get a major party to take up such causes in that kind of environment?
I think that free ubiquitous basic internet access is a great idea, that could do a lot of good for a lot of people and the economy overall.
But I'd gladly forgo it, if the cost is freedom of speech on the internet.
Any government supported network needs to be an unfiltered. Even forcing people to register with the government as adults to receive an unfiltered connection is far too burdensome, in that it destroys users' privacy and any potential anonymity for whistleblowers and the like. Any parents who want to restrict their kids' browsing have plenty of options to do so on their own devices, without unconstitutionally and unduly compromising adults' freedom of speech.