Bezier curve confusion on 2 points

I was looking at this 37030-bezier.png

The link you have given is for Bezier in the scene view, not game.

The link below is what you want. It has loads of examples of the different Bezier flavours and all wrapped in a Unity project. Enjoy.

However, for your purposes, you might not actually need a Bezier. Instead, Vector3.Slerp might do all you need (Spherical Linear interpolation) to figure out the points spherically between two points (Vectors)