No it's not. The"plan" is to have an slow global Internet connection (about 256 kbps) that connects you to The Internet (which is of course heavily filtered), and a faster (a few MBps), domestic intranet that connects offices, government agencies, banks, news agencies, universities and schools together. Home users can sign up for this intranet thing too, so purchasing (and downloading) a movie (from a server inside the country) would take a couple hours, not a day. That's the "carrot".
Blocking google or gmail was never in that plan; dangerous social networks, like Facebook, twitter and G+ are all blocked (and have been, for years) of course. But a search engine or mail provider theoretically should be left alone!