Time and the Speed of Light

[Mudhammam]

I have a question about physics, specially photons and the speed of light. I've heard it said, put roughly, that when traveling at the speed of light, as a photon does, there is no time. So from the point a photon is emitted to when it is absorbed by an object, no matter how much time appears to pass from our frame of reference, from the standpoint of the photon, no time at all has passed. The emission to absorption by another object is for a photon instantaneous. Is that roughly correct? My next question, then, is how do we know the age of the Universe? I thought it was partly because the farthest light we can see is 13.8 billion light years away. But then, is that only from "our frame of reference"? How does that work from the standpoint of a photon?