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I’m having a rough time trying to set up this behavior in my program.
Basically, I want it that when a the user presses the 'a' key a new sphere is displayed on the screen.
How can you do that?
I would probably do it by simply having some kind of data structure (array, linked list, whatever) holding the current ‘scene’. Initially this is empty. Then when the event occurs, you create some kind of representation of the new desired geometry, and add that to the list.
On each frame, you clear the screen, and go through the data structure, mapping each representation into a suitble set of OpenGL commands. This is really standard.
The data structure is often referred to as a scene graph, it is often in the form of a tree or graph, where geometry can have child-geometries and so on.