Your link doesn't work. You don't need to post pictures or anything like that. The network card will have a certain slot type, like PCI, PCI-Express, etc. Your motherboard will have a list of available ports. You can find this in your manual or just by looking at the motherboard closely (your screenshot isn't clear and much is covered). Match them up, and you are good to go.
Aside from all of that, your new motherboard should have a network card built-in.