Will this processor cause bottlenecking issues?

[Kenwood]

Hi Team Traction members,

I have yet another technical question to ask:

I have recently come into quite a bit of money ($360) and I am planning on upgrading my processor (which will mean I need a motherboard to support it and ram that the motherboard supports) so that leaves me with plenty left. Then there's a hard drive I want to add.

I need to know if by upgrading to a Phenom II X4 3.2GHz quad core would create any bottlenecking issues, like if the GPU will bottleneck the CPU. I currently have a XFX GT240X 1GB GDDR5 from Xmas.

Would it be necessary to upgrade to a better GPU?
Looking at a 5570-5770 in case I would need to upgrade.

So far I have been researching for like 3 days in a row.

-Kenwood