There are many great sites on the net that can help you get started. I am not sure about official "classes", however the following sites should be useful:
- Digital Photography School
- Great info on camera usage, composition, lighting, post-processing, etc.
- For Beginners Section
- Cambridge in Color
- Another great educational site for new DSLR users
- Lots of great tutorials covering all the technical details
- Great techniques section describing specific scenarios