The vast majority of wireless mice and keyboards can work without using a GUI. And with your usage of "reconnect", with my Bluetooth mice I never had to use the GUI to reconnect it, they just reconnected automatically when I turned the mouse back on. I did have to pair it originally on the computer using the computer's Bluetooth settings, but that's only for Bluetooth devices and only for the initial setup. Mice and keyboards with dongles never required any kind of GUI and most of them even worked fine in low level environments like BIOSes on older machines and what not.