My assignment requires graphics (turtle). Can I do it from home?
Honestly, I never tried this on Windows, so, my advice would be you installing Python for Windows. Here you will find more information.
For users of Unix-based operating systems (Linux, MacOS...), if you connect using ssh, include an option -x, and it will allow graphics to be transfered through the network.
ssh -x USER@csc.cpsc.ucalgary.ca
For more information on this, look at this other question.