So I started playing this in a browser and I like it so I downloaded the Windows copy of the game. Is there anyway to get my save data from the browser version and transfer it to the pc copy? It's cool if not, but I figured it couldn't hurt to ask.

Unfortunately there isn't. Sorry about that!

When you play the downloaded version your save file (SortTheCourt_save.dat, next to the game's executable) can be copied, backed up, and moved around as much as you like - but the browser version uses a different system for saving.