Wireless Internet

So in a way this has to do with my other thread, which is still open if you want to help xD.
Anyways, I thought I'd make a new thread so it wouldn't be to cluttered. I have an old desktop computer which I want to put in my room, but it's to far from the modem to connect with a wire (I could but I'd need to buy a long wire/drill holes in the wall ) so I decided to look for a wireless usb thing. The thing is, I'm not exactly sure if it's what it's meant for or if it would work well. Looking on Newegg I found http://www.newegg.com/Product/Product.aspx?Item=N82E16833122379

So, would that connect me to the internet wirelessly on a computer that isn't meant to connect wirelessly, and do you think it would work good/not disconnent, because I want to get some weekly proggy reports for botting on this .

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EDIT: OR http://www.radioshack.com/product/index.jsp?productId=4396001#

Get this -----> http://www.amazon.com/Alfa-AWUS036H-802-11b-Wireless-network/dp/B002WCEWU8