The hardware part would be easy:
Go to <http://support.apple.com/kb/TA30794?viewlocale=en_US> and scroll down to Printer/Modem port. With that info, you should be able to make a suitable DIN 5 to Serial adapter cable, and then you could use a commercial USB to Serial adapter.
I think that youll find that your major obstacle will be the software driver; we used to have to make or modify drivers back in those days, and I doubt that youll be able to find anything useful, and I dont even think that the Apple IIc has enough oomph to do anything useful with a modern printer.
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In your place, I would look for a suitable vintage printer, or just move the file from the IIc to the machine that uses your printer. Have fun, and good luck.