Alright, I just got done installing the game through Stardock Central and... Well, short version is that it doesn't work.
Here is EVERYTHING I DID:
Purchase the product
Download stardock central
Update my stardock central information
Locate galciv2 which was at the top of my games list or whatever, as it had found that I bought it and owned it
Clicked it, hit 'update' or 'upgrade', whatever it was.
Waited for it to finish
Clicked the button, and the message came up:
This application has failed to start because binkw32.dll was not found. Re-installing the application may fix this problem.
The reason I think it isn't working is because I uninstalled the demo right before I hit installation. It might have left over some components, or not left over some... considering it said 'update' instead of 'install', to begin with, was questionable to me. Also, the folder it installed to was called galciv2demo or something, instead of... well, someone that didn't say demo?