Imagine you're at a football ground, and you're watching a free kick about to be taken.
What you're watching is something that's happened in the past -- you're looking back in time!
This is because the footballer goes to kick the ball. Any photons from lights or the sun hit him and bounce off in all directions, and then travel to your eyes, which is how you see him. However, it's taken some time for the light to travel from the footballer to you, so what you're seeing is what happened a very small fraction of time in the past.
The only reason you don't notice any of this is because light moves so fast -- 300 million metres every second. So you're only seeing a very, very small amount of time in the past.
Hubble telescope is exactly the same. It's just a big eye, looking into space at some event or object, as you were at the football ground. The difference is that it's looking at things very, very far away, so the light actually takes a noticeable amount of time to travel from the object to Hubble. Hence, it's still looking back in time as you were at the football ground, just further in time than you were.