Does broadband mean that someone actually has to come to the apartment and do the connect? That is what happened in Texas, and it involved drilling. I'm not sure that I am allowed to do that in this apartment.
The expression "broadband" comes from old communication technology, where the broader the band of frequencies you used, the higher the speed. Now it is effectively just a synonym for "high-speed". It is used as a generic term for any fast (over 1 Mbit/sec) connection, via phone lines, TV cables, a wireless dish, ...
You would probably need someone to come by and set it up. Most apartment buildings in China have some sort of broadband service available; I think China Telecom is the most common provider.
For any broadband service, I strongly advise getting a router, a little box that goes between your computer and the net. They were around 300 rmb a few years back, I think much less now. Those typically let several machines share the connection and provide a wireless access point, so a visitor can (if you give them the password) reach the net from your place.
More important, the router sits between your machine and the net, making a whole lot of possible attacks on your machine much harder. Especially if you run Windows -- and absolutely definitely if you run a "pirate" version without the Microsoft security updates -- that is protection worth having.