All consumer video cards are, by design, compatible with the Windows generic VGA display driver. If the version of Windows you install does not include a native driver for the video card, then the standard VGA driver is installed, which provides usable but minimal functionality, e.g., 1024 by 768 resolution or similar, without hardware acceleration or DirectX support, etc..
Microsoft Update may have a compatible driver not included with Windows. To verify this, open the Device Manager, expand Display Adapters, right-click the video card and click Update Driver, then follow the prompts.
A much better alternative, for desktop computers, is to obtain drivers from the graphics hardware maker (usually AMD or Nvidia); or for laptop computers, from the graphics maker or computer manufacturer. In the case of some laptops, the graphics hardware is customized, and the computer manufacturer's drivers must be used.
Yes otherwise you would not get any display plugging in the card for the first time. It may default to the being detected as a standard vga card until the drivers are installed