I want to upgrade my graphics will it bottleneck?

^ Yes, it's a LOGISYS powersupply, regarded by most as being barely fit for duty as a paperweight.
THSNOTLEK, do your uncle a favour and get a decent power supply before installing the GTX560, about $50 (US) will get a good, solid replacement.
Like this: http://www.newegg.com/Product/Product.aspx?Item=N82E16817256060
If you want something else stick with Antec, Corsair, Silverstone, Seasonic, FSP, Rosewill (Capstone series), Pc Power and Cooling or OCZ. Minimum requirements will be 400Watts and 2x6 pin PCI-E leads (for the GTX560).