will my build work?

Because your motherboard have the same Socket as the CPU. (LGA 1150) And the wattage is enough four the system.

And you can check if it match yourself at http://pcpartpicker.com/
 


Even when wattage is enough the whole PSU is complete junk!!!
Here is a lot better one!

PCPartPicker part list / Price breakdown by merchant / Benchmarks

Power Supply: XFX 650W 80+ Bronze Certified ATX Power Supply ($64.99 @ NCIX US)
Total: $64.99
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-03-17 15:25 EDT-0400)

Why you don't want a crappy PSU http://www.theregister.co.uk/2012/11/26/exploding_computer_vs_reg_reader/
 
Your PSU is good enough, as long as your other components aren't too demanding. You could upgrade, but they are just suggesting most likely because of your graphics card. And Yogi isn't right, that is OC compatible. It has Genie 4 so you can start over clocking in 1 second