Aye, as are quite a few google searches (for instance, you cannot find results for Tiananmen Square).
It’s a good question to be true. I don’t see any reason why you wouldn’t be able to continue being a web designer, but you would just have to be careful what kind of websites/blogs you design and what kind of material you use because it’s all being monitored.
If you want to be a web developer in China, for Chinese companies, that should be fine. But with the way websites are being created now (facebook and twitter integration for example), you might find things to be rather difficult.