[Acer E1-570G] Will the CPU heavily bottleneck the GPU ?

nope no bottleneck, will do fine for online casual games, but won't play AAA titles at max settings at 1080p, will play at medium at 1080p fluently
 

Resolution isn't 1080p
And you are really sure the processor wouldn't bottleneck the GPU ? I mean it is the low power one clocked at < 2ghz