You will not be able to have the output of any add-in graphics card route through the motherboard's VGA/DVI connector because there is no path to do so. The motherboard's VGA/DVI connector is only there to allow you to use the on-board integrated graphics.
Firstly, you should have your monitor hooked up to the Radeon card directly. Secondly, make sure that you have the card properly seated and that any external power connectors are plugged in so that the card is getting power.
If you still aren't seeing anything output from your Radeon card, hook your monitor back up to the integrated graphics and boot into the BIOS menu. Make sure that you select "external graphics adapter" (or whatever is similar) as your primary display device. Then hook the monitor back up to the graphics card and reboot.
You should be seeing output on the monitor from the Radeon card, now.
Note that when you are using a graphics card, you cannot use your integrated graphics alongside it. It's an either-or proposition.
As it turns out, the laptop does indeed support OpenGL and includes hardware acceleration for it. I had pretty much given up getting the screensavers to work, but one of the pages I read just before giving up happened to have the solution.
In the Opengl.org forums, fbayle explained that for some baffling reason, Intel has decided to disable OpenGL hardware acceleration for screensavers, and only screensavers. They went on to explain that the drive checks the extension of the file being run to see if it is a screensaver and if so, disable acceleration, but fortunately it does so in a sloppy, and frankly, amateurish manner—e.g., if fExt='.scr' disableOGLAccel—which means that you can easily work-around the bizarre limitation by simply changing the file’s extension so that it has a capital letter.
So, just rename the screensavers from Lattice.scr to Lattice.Scr, and so on. (For some reason, fbayle recommends .sCr, which seems random and unnecessarily more 1337 than .Scr.)
Apparently Terence, the author of Really Slick has had reports of the performance issues because he has added an entry to the FAQ with a link to Intel’s description of the issue—which uselessly says the “solution” is “expected behavior”—as well as a note about renaming the file.
It’s a strange, inconvenient, non–novice-friendly, and unnecessary work-around, but it’s easy and works. (Note that this may not work on newer driver versions (they may have “fixed” the solution), but hopefully newer versions are still supported so that you can request a proper fix instead of resorting to a hack.)
And now back to our regularly-scheduled screensaver (my favorite is the lattice configured as circuits—it feels like flying through cyberspace).
Best Answer
You probably have Intel HD Graphics integrated inside your Intel CPU, and additionally you have the AMD Radeon.
Firstly, download and install the newest drivers for your AMD graphics card from the AMD website. Windows comes with some drivers but usually they can't handle modern OpenGL.
Secondly, check your BIOS - you'll probably have an option to enable/disable those GPUs so that you could choose which one to use.