01wish,
The most educated physicist in the world doesn't know what is at the bottom of a blackhole. Some say it's a singularity, which means 0 volume. Light cannot escape the clutches of the blackhole because of the immensely powerful gravity of the blackhole.
It depends on what you want to mean as "exit point". If you want to ask, whether our sun is a whitehole or not, I don't think that our sun is a whitehole. If you want to say that the sun is at the edge of the gravitational pull of a blackhole, yes, our sun is located at the edges of the Milky Way Galaxy which has a blackhole (Sagittarius A*) as its center.
Now, you might want to ask, what is a whitehole? A whitehole is a hypothetical object, as formulated by the General Theory of Relativity, from light and matter escapes. The same light and matter that goes inside the blackhole comes out from a whitehole. Though, such object hasn't been found yet.