Being a complete noob, how will I go about generating this image to use as an envmap texture?

I'm curious, is it possible to achieve real-time dynamic reflection? perhaps via GLSL shaders?
I'm pretty new to shaders in general. Still reading up on them.
But say I wanted to make a chrome ball that reflects everything around it real time, What shaders would I attach to that sphere?

Thanks.

So essentially if I use GL (hardware) renderer in JPCT, as long as I have MESA drivers replacing my gl drivers, it will work?

Hey I was just wondering if a MESA renderer (i.e. opengl software with shader support) could be used with JPCT.
Is it currently possible?