You can.  The library has installed a free self-serve digital scanner in the computer area next to the Williams Reading Room Reserve collection.  Georgetown students can use the machine free of charge.  

Simply enter your Georgetown Law netid and password and you can scan pages from a book on the flat-bed scanner, or use the page feeder feature on the top of the machine. The scanner will automatically send a pdf copy of your scan to your email address.

This is one of three self-serve digiscanners in the library.  One more is on the third floor of Williams and the third is at the Circulation Desk of the Wolff Library.