Here are some options for printing from an iPad:
AirPrint. AirPrint is an iPad printing system that is built into many (but not all) apps. Printing through AirPrint requires that you have an AirPrint compatible printer (get a list here) and have the printer on the same network as your iPad.
Printers on Campus. Dartmouth provides a printing system for students — GreenPrint. Starting on September 4th, you will be able to print from an iPad (or other mobile device) to GreenPrint. Click here for more on GreenPrint.
Email the document to yourself. This is old-fashioned and very reliable. Email the document to yourself and then download it onto a desktop or laptop to print.