Once you have done it a few times it will be as familiar as emptying your recycling bin.
The only thing you should need to download from AMDs official site is your GPU drivers. Download Drivers and under "manually select your drivers" enter your system info, Notebook graphics > R5 > Radeon R5 M3XX Series > OS.
The most relevant part here is to take a look at the release notes, they list what has changed, and what may or may not improve your experience or squish any bugs in your current drivers.
So the hotfix driver may do nothing to your games, or to improve your hardware. But no harm in using them at all.
Your games may not change at all. If for instance when a new game is released that isn't working at 100% on AMD hardware AMD tend to release a driver update to address this. But that X.1 version may not be worth the hassle to update to if it hasn't addressed anything other than that game and a few reported bugs you may not have even experienced. Again check out the release notes.
Installing drivers correctly can take a few minutes every few months, but is worth doing right as they are vital for your system.
I hope this can address some of your concerns.