Yes it will work with your CPU
you're going to want to make sure you have a PCI-express x16 slot available
it looks alot like this black slot here
also you want to make sure you have adequate space in your case as it is a large card, and make sure your power supply has two spare 6-pin connectors or enough molex connectors to convert to 6 pin connectors (usually 4).
Also make sure your power supplies wattage is at the minimum of 500
if all that goes well, then I hope you get your 560 and enjoy some great gaming on it