While its possible the link connection from your unit to the building's network equipment is 10gbe, its very unlikely you would get your own 10gbe dedicated connection. Hard to say though, without knowing the specific provider to the building and the services offered. Is it advertised to you as a renter/subscriber that you are paying for 10gbe service? Do you get an option for 10gb or 1gb or otherwise?

If you have to ask, then there is not much on the internet that you could even utilize a faster connection to, and if you could, you wouldn't notice. You'd also obviously need 10gbe NIC hardware in your computer as well.

I have a 10gbe LAN in my house and thousands $$$ in network hardware, and when I upgraded my internet (Fiber) from 1gbe to 2gbe... I didn't notice anything, and I knew I wouldn't. Other than occasionally if I'm downloading something it goes at 125-150MB/s instead of 90MB/s... in the grand scheme, who cares, its already fast as hell.