I would recommend installing the driver following the manual installation procedure:
Download the zip version of the video driver: Intel® Download Center
Please bear in mind you would try installing generic Intel drivers that may not have all features available for your graphics controller, Intel recommends downloading and installing customized graphics drivers from the computer manufacturer.
Shader model 3.0 is not supported on your graphics controller. The Q35 express chipset supports shader model 2.0
If there is a PCI Express X16 slot on your computer, you will be able to install an external video card. Please check computer manual or specifications.