REST is an architectural style, not a standard or API. It was conceived by Roy Fielding in his dissertation in 2000 (see references at end). However, existing standards including URLs, HTTP and XML can be used to implement REST applications. REST is used to build distributed applications such as Web apps. and Web services. REST servers are any pieces of software that respond to REST requests. They can be implemented in many ways, including Java servlets. The Web is an example of REST architecture. The many kinds of software running on web servers that return resources are examples of REST servers. Web browsers are a kind of REST client, sending requests to URLs using HTTP.
One of the benefits of REST is that it allows systems to communicate in an extremely loosely coupled fashion. Eric Burke tells a compelling story in favor of REST.
Be sure to ask Mark for the framework classes and sample application. His email address is near the end of the article.