Make flat on zoom in, but globe on zoom out like Apple Maps?

Question

Let’s say you want to make a canvas-like application (OneNote, Keynote). Instead of just a simple canvas, the actual canvas is rendered onto a globe. And the user sees a portion of this “canvas globe” (like a viewport, or like SimCity).

Basically, I am trying to make a globe like Apple Maps on the iPad (on close up its a flat map, on zoom out its a round globe).

1. How would you accomplish this? Perspective? Camera? Fade in a flat surface at any position instead of the globe?

2. How to render an array of objects onto the globe so you can zoom out and zoom in and spin the globe with the objects staying on the globe? Like countries, labels on a map, but then objects on a canvas (squares, lines, etc.).

I know how to make a globe, I know how to make a 2D canvas application. I just don’t know how to incorporate both concepts.