This question might sound similar to the one over here. My case is given below.
Thanks.
The GWT compiler is really a Java source to JavaScript source translator; it is a specific compiler which consumes Java files (article is 2008, but this main concept probably didn't changed). A GWT Groovy-to-JS would be needed.
You can try using Grooscript, which transcompiles Groovy to Javascript.
A Groovy-to-Java transcompiler seems out of hand (thread is 2009, but it's concepts haven't changed).
Also noteworthy: Groovy and GWT: Combining both paradigms