Right now, I don't think I have the latest version of my graphics card. I have version x.x.x.4835, but the Device manager says that I have the "Best Drivers." Should I update for the latest version, which is x.x.x.5058? Also, how?
It depends. Are you a laptop or desktop? If laptop, use the drivers provided by the laptop manufacturer.
If desktop, then here is a list of the available drivers:
Your laptop manufacturer likely has modified or customized the driver to work with features of their hardware. The Intel generic drive will not provide this customization.