I've been reading about the gameboy's architecture and internals (in the hopes of making a game with it), and it's pretty amazing how much specialized hardware there was in earlier generations of consoles, especially compared to the more general modern consoles. And yes, new consoles have GPUs, but those are everywhere.
Your computer has a GPU. It probably doesn't and didn't have scrolling registers or hardware sprites (unless, like the C64, it had a gaming focus).
One could at least describe the "text mode" of VGA/CGA/EGA video hardware as actually being the same kind of "tile mode" you find in consoles. And in slightly more modern video cards (the kind you'd find in a Windows 95/98 machine), the mouse cursor was usually a hardware sprite. (Even today, mouse cursors seem to frequently escape OS gamma correction for some reason...)
And even without a dedicated scrolling register, John Carmack famously managed to get the IBM PC to do scrolling by manipulating the screen buffer address (and emulating sprites by manually redrawing those parts) https://en.wikipedia.org/wiki/Adaptive_tile_refresh
Your computer has a GPU. It probably doesn't and didn't have scrolling registers or hardware sprites (unless, like the C64, it had a gaming focus).