Yes, Genos has internal clock, and you can even turn it off or on to be visible at your screen and to have timestamp on/off..
As you may know, Genos is no other than a computer, it's about bits and bytes, maincards, memory or whatever.
At PC you have keyboard, at Genos you have keybed. 😁
I suppose it's a backup battery at mainboard that keep time correct, even correction for summer / wintertime.
Btw, Toril, there is no dumb questions, only dumb answers. 😉