Sound has a similar but more familiar effect Gran. You can often see an event - such as a firework or a flash of lightning - but only hear the sound some time afterwards. That's because sound travels at about 760mph at sea level and it takes a certain time to reach your ears depending how far you are away. By the time you hear the event it's over and happened in the past.
Light travels at 186,000 miles - not per hour - but every second. If the sun is 93 million miles away the light leaving the sun only reaches Earth 8 minutes after leaving the star. When we see the sun set below the horizon - the sun actually set several minutes earlier! (there is a time effect caused by the refraction of the atmosphere too). We see the Moon 2 seconds late as it takes that long for light to travel 250,000 miles from there to us. The nearest galaxy to our Milky Way is the Andromeda Galaxy which is just visbile in the constellation Andromeda. That's 2.2 million light years away which means the light we see now set out from the Andromeda Galaxy 2.2 million years ago. It's taken that long to travel across space at the speed of 186,000 miles every second to enter our eyes. That light set out before modern humans even existed! The light arriving now from many distant galaxies set out even before our solar system formed 4.6 billion years ago.
As I said, it's the same effect that causes sound to enter our ears some time after we see the event.