Censorship is very different to surveillance, and I wouldn't conflate the two.
It's a useful step to understand that people who work for GCHQ or any security services are not, in general, evil eavesdroppers or sinister conspirators.
Surveillance techniques and surveillance in general have spread in this way because of the unstoppable flood of things we use -- social media and the internet, mobile phones etc. This gives much more scope and better tools for crime and terrorism -- for example, the subterranean internet used by child abusers and organised criminals that most of us can't access, but which clearly needs some form of surveillance.
Two large parts of the problem are:
1) These technologies have massively encroached on and eroded personal privacy anyway, and there is a large element of choice in this. People wilfully abandon their private lives in one way (Facebook, say) but cannot accept the implications and consequences of this in another.
2) Most security agencies, like the NSA, are not that refined (yet) and so, as someone said, their surveillance techniques seem to involve hoovering up a lot of worthless information. An aspect of this is that there is so much worthless information around now (my own email traffic, for example) -- it has exploded as an effect of the technology that conveys it. This comes back to two responses -- a) privacy is sacrosanct whatever you say, but maybe you have forfeited that by entering into an inherently unsecure contract, or b) why worry, unless you have something to hide?
Personally, I miss the privacy and quiet spaces and the moments when nobody could get hold of you or you didn't have to worry that they couldn't get hold of you, dimly recalled from the small amount of time I got to experience this lost world, in the 1980s and early 1990s. On the other hand, all of this tecnology exists and it has made the world more dangerous than before, and citizens and societies are naturally going to make some compromise between security and surveillance (or will have to). Maybe the "apathy" is to do with the fact that people, to a large extent, understand some of these things, rightly or wrongly.