Implementing swing?

Hello everyone,
There exists a JVM for my target operating system (Linux) However, I have
written a new windowing system and I would like to write AWT/Swing bindings
for it.  I have absolutely no idea how to even begin or how much work this
will be.  It seems like in a perfect world, all I would have to do is tell
Java how to create a window and give the device context to awt/swing, which
would do the rest.  I am sure that this is not the case :-)  Am I looking at
reimplementing every awt/swing component here?  Any reading materials to get
me started?  I didn't have the best of luck with Google.

Thanks,
-Jeremy