That's about right. Good CPU and non-gaming GPU.
Here is some information about your Hp Pavilion Elite m9370a
The item of most interest to you and your goal of getting some gaming in with this computer is the 300watt power supply.
That will limit the video card you can use in your new system. Unless you want to consider upgrading the power supply as well.SAPPHIRE Radeon HD 4670 $70 and $10 rebate
is an example of a video card that would run in your system and it's 300w PSU without a problem.
Have you set a budget? What type of gaming do you want to do? What resolution monitor will you be using?