When a ballistic missile submarine is NOT on patrol they operate just like a fast-attack submarine.
Nobody inside but the captain and the second in command know where they are.
Source : was in the French navy 2005-2007. I got to see them leave and enter through the straight near Brest. They do it surfaced as apparently the nuclear drive is hot enough to be detectable in the straight, so there is no point on doing it underwater. Take this last tidbit with a grain of salt because the sailor that told me was not a submariner himself.
More people than the Commanding Officer and Executive Officer would know their position, though. Whoever is the French equivalent of Officer of the Deck and the on-duty navigator would need to know their position. But yeah, there are times/situations where the position of the boat is MUCH more closely held - and that may be all the time on French ballistic missile submarines.
Was gonna say, how the fuck does your navigator work without knowing where he is?
Things that didn't happen in "my reality" include the Ferguson race riots, San Bernadino shooting, the shooting at the heavy metal concert in France (?), the Mediterranean immigration crisis, and Trump becoming the Republican front runner. We were on pre-deployment work ups and then deployment. We were lucky to get a batch of sports scores.
I guess it depends on the mission and the command's digression.
Now I was on fast-attack submarines (versus ballistic missile boats), but we regularly got email roughly every day when at sea. During certain operations, we would even regularly get an abridged NYTimes PDF news summary sent to us. And my grandmother died when I was underway on deployment - I got notified immediately. (Though obviously wasn't able to travel back.)
One important thing is that the IT admins on the boat had various scripts they'd run against all the email sent/received to help ensure that classified information didn't leak out, or troubling information (I think like family deaths?) leak in. But it never felt invasive.
Maybe the French Navy operates very differently than the American Navy, but... I call BS on this article.