The only functional paradigm of GUI programming I know of is Lisp's Cells.
Scala's present Swing library is reactive, which isn't bad. It's being reworked for version 2.8, I have heard.
There are, though, alternative frameworks. One recent one, for instance, is a Scala wrapper for SWT.
I think that, at this point, there hasn't been enough projects done for any particular pattern to emerge as a superior choice. I'd advise taking a look at everything out there, and choosing one that fits you better. Who knows? You might even become a major contributor to the best Scala GUI framework that comes to be...