Your monitor is a basic display device, at ~19" of desktop real estate I don't think you'll be in any kind of trouble however the specs to your system looks off.
Please list your specs as:
CPU:
Motherboard:
Ram:
SSD/HDD:
GPU:
PSU:
OS:
Chassis:
You're also going to have to be specific about the titles you're thinking of gaming on. From this angle it looks like you can't do anything with the APU you have at hand albeit game on it with the lowest of details even at 720p.