As far as I understand it, any program gets compiled to a series of assembly instructions for the architecture it is running on. What I fail to understand is how the operating system interacts with peripherals such as a video card. Isn't the driver itself a series of assembly instructions for the CPU?
The only thing I can think think of is that it uses regions of memory that is then monitored by the peripheral or it uses the BUS to communicate operations and receive results. Is there a simple explanation to this process.
Sorry if this question is too general, it's something that's been bothering me.
You're basically right in your guess. Depending on the CPU architecture, peripherals might respond to "memory-mapped I/O" (where they watch for reads and writes to specific memory addresses), or to other specific I/O instructions (such as the x86 IN and OUT instructions).
Device drivers are OS-specific software, and provide an interface between the OS and the hardware.
A specific physical device either has hardware that knows how to respond to whatever signals from the CPU it monitors, or it has its own CPU and software that is often called firmware. The firmware of a device is not specific to any operating system and is usually stored in persistent memory on the device even after it is powered off. However, some peripherals might have firmware that is loaded by the device driver when the OS boots.