I think Stallman is concerned about surveillance in general, not only government surveillance. Corporate surveillance is much more prevalent on (and more unique to) the internet than government surveillance.

The internet will always have government surveillance, just as real life always has surveillance and monitoring.

If you don't want to be monitored, either encrypt things, or don't post it online.

Your analogy does not work, at least not where I am living; parts of my life are not monitored by the government. All of them are monitored by someone like my friends, colleagues, etc but I am okay with that, as I can directly interact with them on the same level and they are not some big, centralized entity to which I never agreed.

And i guess that you, like me, don't know the future; The question if there will always be government surveillance depends on our collective decisions and good portion of historical luck, but it isn't for sure.