Sign our petition to stop France from forcing browsers like Mozilla's Firefox to censor websites
(foundation.mozilla.org)
And the thing is, there are open source internet browsers that can be written to avoid any browser checks that a law might require.
However, if Google's browser DRM gets widely implemented, a browser-side content blocker would be effective, because all those open source browsers would be unable to access the wider web.
I think if Big Brother Browser with Google DRM is our future, we're going to see people using 2 browsers as standard. They'll have one "corporate" internet browser, for Instagram, Amazon, whatever. And one "free" browser for all the grey area stuff.