Kivy, for which OpenGL 2.0 seems to be mandatory.
Strictly, Kivy targets OpenGL ES 2.0 as the minimum requirement. This is not the same as OpenGL 2.0.
Well, the question is simple. At home I have three computers of which two are quite old with integrated graphics cards, which do not support OpenGL 2.0.
This is fairly unusual nowadays. Even mobile devices have almost all supported it for years.
The only places you tend to see lack of support are older machines with integrated graphics, like yours, though I have no statistics on how common these are. Any machine with a 'proper' graphics card, or integrated graphics from the last few years (e.g. intel's integrated with sandy bridge etc.), will almost certainly work fine.
I've seen the occasional problem in newer machines, e.g. some netbooks with particularly poorly supported graphics chips, but these are very much the exception rather than the norm.
Edit: For reference, Google seems to claim that 99.9% of devices support OpenGL ES 2 (at the time of writing). I know you asked about the desktop, but I don't know where to look for statistics on that.