Bearing in mind that the Tyros 2 model was introduced in 2005, and also that the software at that time was Windows 2000, XP and maybe 98, I wouldn't pin my hope on anything too adventurous.
That said, there will be T2's out there that will be cheap and if only used at home, probably in goodish condition.
My advice would be to use modern thumb drives and transfer and use data using those memory options. Far more reliable. Connecting to the Internet should be possible, but remember that current software is unlikely to reflect great compatibility with a keyboard of this age.
The hard drives in the T2 are just bog standard laptop 2.5"drives, so you can load plenty onto them. They are also really easy to get to. just by removing the 8 screw cover and releasing the from the mounting cradle. 15 minute job.
My best advice to you, is to open and shut the tilting display as little as possible. I used to leave mine up all the time.
Over time, the ribbon cable that brings data to those displays become brittle, and then fail.
Enjoy it, experiment with it, but after 18 years don't expect miracles.
Keith.