First off I'd like to say that you should completely ingore TheGreatHoylando's build, it's overpriced and not what you need, not to mention he/she didn't mention any other parts of the build.
So I came up with a build that will give you the performance you'll like. I would also like to say that as far as how the build is, that you should also focus on things such as the keyboard, mouse, speakers and other things you may want for your new PC.
CPU: For this I chose the i3 3220 because it's a simple dual core for tasks like what your doing. I've seen this specific CPU in action and it works great, makes a low amount of heat and uses a low amount of power. I would also like to say that it has integrated graphics so a graphics card is not needed, you can plug the video cables into the motherboard's ports in the back of the case. The graphics isn't the best for advanced games like Dirt 3, Battlefield 3, Minecraft (it runs decent but not perfect) and a lot more but assuming your not doing these you'll be just fine and it will save you money.
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
Motherboard: I went and picked out a micro atx motherboard so you can use smaller cases, assuming your not gonna be using 7 different slots for different PC expansions
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http://www.newegg.com/Product/Product.aspx?Item=N82E168...
CPU Cooler: You don't need a CPU cooler since Intel's CPUs all come with one (AMD does that to) but because it makes a small annoying noise people like to replace it with something else (one major reason is so that they can overclock) and I went a step further with a replacement and choose one that's completley fanless, so the only noise left if are the case fans (assuming you chose the power supply I chose). Also don't worry that it has no reviews, I looked up a review and they said it was good, they said the only problem is that it couldn't cool a 130w CPU (yours is 55w) although newegg says it can cool anything about 150w but anything 95w+ needs a fan.
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
Case: I'm not gonna choose a case because it's your choice of what you want your PC to look like. So loo through this list and pick out what you think is good (if you want it to be small look under "Form Factor" in the case's details page and check if it's a "Mini Tower":
http://www.newegg.com/Product/ProductList.aspx?Submit=E...
Power Supply: I've chose another fanless part, it allows more power since it's a 400w but you can expand your pc:
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
RAM: This is a good 8GB of RAM.......... that's all.
http://www.newegg.com/Product/Product.aspx?Item=N82E168...
I'm gonna leave you to choosing you storage, look on how much the case you choose can hold and look for a nice DVD drive and HDD (look into SSDs).