Even though children do have fewer protections from the 1st Amendment, they still are covered by the 1st Amendment in the US. I think it's very likely that a federal ban on children accessing the Internet would not survive 1st Amendment muster.
There are things we can restrict children from accessing and talking about, but it's a lot more narrow than people often suppose and most of that restriction is usually coming from private actors (particularly parents) who aren't bound by the 1st Amendment. Outside of settings like school, the government is generally not as free to impose those restrictions.
There are things we can restrict children from accessing and talking about, but it's a lot more narrow than people often suppose and most of that restriction is usually coming from private actors (particularly parents) who aren't bound by the 1st Amendment. Outside of settings like school, the government is generally not as free to impose those restrictions.