yea, that looks like GPU artifacting. Since you mentioned its a laptop, I'd bet the GPU is toast. They often die early on laptops, due to heat, or other stress unique to the laptop form factor.
Just to be sure though, have you tried reinstalling drivers/windows/everything yet? Sometimes drivers will cause problems, but in my experience, software issues usually don't result in artifacts.
Sometimes though its just due to temperature, and not any irreparable damage to the GPU. (unfortunately it looks pretty bad from the picture) If you can open the laptop up, check and see if there's lots of dust, if there is, clean it. If that doesn't work, try replacing the thermal compound between the GPU die and the GPU heatsink (it'd be a good time to redo the CPU thermal paste too since you will likely already be like 95% of the way there).
If none of that works, you can try cooking the motherboard in an oven in attempt to reflow the solder on the GPU. This sometimes works with mixed results. There are tons of guides online, and equally many different philosophies about the best way to do this. In my experience, this will most commonly either 1) fix it just fine 2) fix it, and it will seem fine, but then it will die again in a month. My luck is about 1:3 success:failure
If my some miracle you have a laptop that uses MXM GPU cards, then you can just replace the GPU, but these are rare and only really seen on ultra high end gaming laptops. if none of that works, you could try to replace the entire mainboard, but i'd imagine this won't be a practical option.
if none of that works, you're likely out of luck:/