If you got here via the Groove presentation at Microsofts Tech Ed conference in Barcelona, here are the links you'll be interested in. If you got here by any other means, I think you'll still be interested in these links. They show you how to get started using Groove (and SharePoint) web services in clear and understandable language. It worked for me!
Part I -- Starting to Talk
Part II -- Comparing SharePoint and Groove Web Service Constructs
Part III -- Working with Tools
Part IV -- SharePoint Lists and Groove Forms Interaction
These four steps form the basic working blocks of our TeamDirection application.
Happy Coding!