Every Mac with a video out supports two monitors. The number of video card's inside your Mac does not effect how many screens you may use. You're limited by the hardware connections available - and in this case it is one. If there is a port, it should work. Otherwise, the 99% of PC laptops on the market with only one video card would not be able to have an external monitor/projector connected to them.
Apple allows you to calibrate each monitor independent of each other. When you went through the Spyder calibration steps, you should have performed it twice. One for the main screen and again for the second screen. The name you saved each as should have been different; such as Monitor 1 and Monitor 2. You should also allowed those profiles to be shared if you have multiple users on that machine. Even when you "Mirror" your screens, you should be able to calibrate each separately.
Perhaps you should post a screen capture of what you are seeing. Maybe something's being lost in the translation.