~I've corrected the broken links and added another link suggested by another reader.
A good place to start is to read the Order of the Mass, either side-by-side text or an interlinear text:
Side-by-side text here
Interlinear Translation of the Mass
If you want to see a comparison of the Novus Ordo with the Classical Rite, here's a side-by-side comparison from the Latin Mass Society of England and Wales. The Classical Rite is in English.
If you want to learn the Latin of the Mass and how to pronounce the words, Simplicissimus, again from the Latin Mass Society of England and Wales.
And if you want to learn how to serve, here's a booklet on How to Serve the Old Mass, subtitled "Correct Mass-Serving Made Easy"!
If you want to understand the Classical Rite, here's Plain Man's Guide to Latin also from the Latin Mass Society of England and Wales.
And since I've mentioned them repeatedly, go here for the Society's website.
AND, if you're a priest in Great Britain and would like to learn the Classical Rite, the Latin Mass Society is holding a training conference 28 August to 30 August, 2007 at Merton College, Oxford. Click on the link for details and contact information.
New Link: If you're a priest, here's Sancta Missa, a website by the Canons Regular of St. John Cantius (Chicago, Ill.). The website will be up in September and will contain "A Tutorial for Priests Learning to Pray the Mass According to the Missale Romanum 1962."
COUNTDOWN TO THE FEAST OF THE EXALTATION OF THE CROSS (or when Summorum Pontificum goes into effect: 43 Days!