Way to access a computer on a network and share a folder with another PC?

[Kaiju]

My PC seems to have died and need a new graphics card, but in the meantime I need some files on that PC. I have a laptop connected on a LAN with it, but I don't have the files I need shared. Is there anyway I could do this from my laptop?

 

[Kaiju]

Thanks for all the suggestions guys, was able to get a Voodoo 16MB PCI in the meantime.