Gaelyk is a framework designed specifically to support applications written for the GAE. However it's not a Java framework, it's a Groovy framework. However, Groovy the language is almost a strict superset of Java, so if you know Java, you should find it very easy to learn. In fact, it's quite likely that if you use Gaelyk you can write most/all of your code in Java (though I wouldn't recommend this), because most Groovy libraries/framework work with either Groovy or Java code.
The Groovy Web Console is built using Gaelyk. It's an app that allows you to run Groovy code in a webpage.