An Intel PRO/1000 PT Dual Port Server Adapter Network adapter? No way. That is complete overkill. They cost around $100. There is no benefit to buying server-grade, dual-port wired NIC for a desktop PC, with an extra port you'll never use. The $10-$20 wired NICs are just fine.
Expect to spend $20-$30 for a wireless NIC.
We need to know more about the OP's motherboard to make more specific recommendations. For example, some motherboards have one PCI Express 1x slot but two PCI Express 16x slots, some have more PCI slots, etc.