Using layman terms, how does a nation control the internet content that their citizens can access?
Well there is domestically and internationally. Slightly different. Internationally, you can basically "pull the plug" because most countries either own, control or have access to their main international internet connections. This is especially poorer countries that dont have multiple cables going to them.
In the "old days" (20 years ago), if you did a traceroute on most internet stuff, you always passed through Virginia. Now that was because the main (and one of the only) undersea cables entered the US around there (from what I understand)... or if you are a bit paranoid, because the NSA/CIA are housed there.
https://geotraceroute.com/ is a fun tool to visually see where stuff goes and you can simulate from different places in the world.
It is harder to control access to the internet by governments these days, especially in the west, as much of the internet infrastructure is spread out all over the place with multiple fibreoptic undersea cables going into the US and Europe. Probably easier to target the power grid than the Internet.... internet needs power..
But saying that, for private ISP companies it can be pretty easy to do... especially if they are monopolies and have no regulation around them.
In Europe courts and governments have forced private ISPs to clamp down on certain websites. So The Piratebay is banned in many countries, but because the courts and governments are run by old white men with no Internet skills, most ISPs just do the bare minimum with these requests. So for example, Spanish courts have banned the Piratebay. Most ISPs block
www.thepiratebay.org, which is the official site... but they dont block proxies, because the court order does not cover them. In Denmark the government and courts have also banned the Piratebay and are actively hitting down on proxies, but that is a wackamole that they will not win. Just get a VPN and wupti bypassed. It is idiotic and out of date, since the Piratebay was popular because we could not get access easily to movies, TV series and music.... like back in the 1990s and 2000s. Now days with streaming services coming with your internet contract.. please..
Point is, IF private ISPs want to control what you are doing.. they can easily do it and in many countries (including the US), they have done so. Netflix was slowed down on many US ISPs until that was found out. Comcast actively blocked Youtube for some customers because they consumed too much (according to Comcast).. the list goes on and on. Usually the real reason for such acts, is that the ISPs have run out of capacity and dont want to increase it as that takes profit away from shareholders.... yea greed.
So I would not be too worried about government control of the internet, and far far more worried about big corporations controlling what you can and can not view on the Internet. In Europe it is illegal to do so and we have so much competition that if one starts, then they will just lose all their customers. Now in the US... that is another matter, especially in some states and rural areas. Lets put it this way.. if someone did a Sinclair Broadcasting on your Internet as Sinclair Broadcasting has done to local news in the US..... then oh boy what a "fun" internet you would have.