Talk to a few Chinese immigrants and you will know.
The younger Chinese generation grew up in an era of Chinese economic boom and are the benefactors of the efficiency in decision making that came with a more top-down (dictatorial if you will) government. The younger generation is much more focused on economic well-being and safety over liberty or freedom.
So as long as China can maintain the economic growth it's been having the past two decades, the Chinese public will by and large support the government.