There was very similar question asked here: How do I get the monitor of an active window in GNOME?
Sorry I didn't see your question earlier; you should use the tags [gnome-shell-extensions] and [gjs] to ellicit help for more programming related questions.
Updated September 2021
As of, well awhile ago, GJS has its own portal for tutorials, documentation and so on.
https://gjs.guide
Everything below is linked to from this portal, so it's a good bookmark.
There are guides covering all the basics, much of the advanced usage, introductions to core libraries like GLib and GTK, including some specialized tutorials like spawning subprocesses. There is also a dedicated section for extensions, covering creation, translations, preferences and porting guides to get your extension working on the latest release.
Please - do request any documentation you find lacking. It may not always be feasible or quick, but we'll do our best.
https://gjs-docs.gnome.org
This is GJS's official API documentation for the GNOME platform, including all core libraries and all the other libraries like GStreamer and WebKit you expect. If a library is missing, you can request it by opening an issue.
For GNOME Shell extensions, these will be of particular interest (see the Architecture page for more details):
Clutter
: The compositor-side toolkit, part of Mutter
Meta
: The window manager and/or compositor (aka Mutter)
St
: Builds on Clutter to add more complex widgets and CSS
Shell
: The internal library of GNOME Shell, providing several classes and functions
Gvc
: High-level bindings for PulseAudio. Not strictly a part of GNOME Shell, but used by it and worth noting.
This documentation is still correct, however it is probably best for those familiar with the GNOME platform that just need some hints for GJS.
As JavaScript is (now) evolving fairly quickly, it is highly advised you familiarize yourself with GNOME Shell's JavaScript source. Aside from being crucial to writing extensions, this is the best way to keep up with new features in JavaScript and GJS, including patterns for using them.
HELP!