Invoking GNOME Activities overview from command line
A command that causes the shell to switch to the overview is:
dbus-send --session --type=method_call --dest=org.gnome.Shell /org/gnome/Shell org.gnome.Shell.Eval string:'Main.overview.show();'
Use Main.overview.hide();
to close the overview, or Main.overview.toggle();
to toggle between overview and normal view (with thanks to gatr and Marcelo Avila).
There might be a proper command line way to interact with various GNOME Shell components (using DBus, I suppose), but a quick and dirty way is to simulate the keypress:
xdotool key super