yes, it need a graphic card. without it there won't be any display
This is not true. I assume that if it does not come with a graphics card there is integrated graphics prebuilt into the CPU and a DVI or HDMI in the motherboard. If it has an intel CPU I would recommend getting a graphics card anyway. If it is amd you probably won't need one. AMD has much better integrated.
If you want a graphics card and you just want it for browsing and things like word you probably won't need anything more than this http://www.newegg.com/Product/Product.aspx?Item=N82E16835186068
Integrated graphics with intel might be a little slow even for browsing depending on the CPU.
What is the CPU in this computer?