Very rough example of OpenGL, with Nvidia.

On Windows:

Game do OpenGL calls -> [Nvidia OpenGL Wrapper -> Nvidia internal driver call] -> Nvidia Firmware/Hardware

The [...] section is made inside nvogvl64.dll.

On Linux:

Game do OpenGL calls -> Mesa3D OpenGL Wrapper -> Nouveau internal call -> Nvidia Firmware/Hardware

Here Nouveau is the open source Nvidia driver, but it can be radeonsi for AMD.