No, that would not run all of those games maxed out with no lag. You would need to spend about $1000 CAD on just the tower (no monitor, mouse keyboard, OS, etc.) to play those games at max settings since those are some of the hardest games to play at max settings right now.
Another question, is the CPU in the build a x-63000 or a fx-4350? The pcpartpicker and the ad have different things. If it is a fx-6300 then it is not a terrible deal (mainly because of the accessories) but the GPU is out of date.