I have no idea what to do with one of these
http://www.amazon.com/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=amd+card
Those are standard Graphics Cards (also called a GPU) that people use in everyday computers. Lots of people buy powerful GPUs to play video games.
Since they are very good at computing certain algorithms, people use them for mining some Crypto-Currencies. Originally Bitcoin was just mined with CPUs (Processors that are in every computer), until it supported GPU mining (which was faster). Now Bitcoin is primarily mined with ASICs (special hardware build especially for mining bitcoins).
GPUs are useful for mining a variety of Altcoins. Litecoin (LTC) for example.
GPUs connect to a computer Motherboard (every computer has a motherboard), and require that the motherboard supports the GPU (as long as the motherboard is <3 years old it will probably work with any GPU), that there is enough room in the computer case for the GPU card (because GPU cards can be kinda big), and that the computers Power Supply Unit (PSU) has enough power (and the right connectors) for the GPU (in general, any PSU at or over 500W and made within the past <3 years should work with almost any GPUs).
AMD is a company that makes GPUs. The other company is NVidia. AMD GPUs are better for mining Altcoins than NVidia GPUs, so you should look into those.
Some people can just buy a new GPU for their mining computer and leave it mining 24/7, while others buy an entirely new computer with a strong GPU. This page is relevant: https://en.bitcoin.it/wiki/Mining_hardware_comparison#Graphics_cards
I don't know if this makes a ton of sense, but at least I gave it a shot.