Or, about 60 million years after it happened...
To observers in other galaxies that are moving fast relative to both us and the star, the time between the explosion and our detection of it (were they able to perceive both) would also vary.
Similarly, if you somehow managed to send something even slightly faster than the speed of light, there's a frame of reference in which you have send it backwards in time.
Obviously, given that, you would have no way of stopping, so your arrival would be abrupt (ignoring whatever magical affects would be necessary to accelerate a massive object to light speed).
If you were able to do so, yes you could "get" anywhere in zero subjective time - as mentioned earlier, since no time passes for you, there would be no way for you to decide that you wanted to stop travelling at light speed - you would end your existence by impacting something.
> that certainly makes no sense to me
Humans, as a species, aren't experienced with relavitistic effects; we have no useful inherent intuition as to how things behave at these sorts of speeds. Most of us have to accept the maths and the experiements that demonstrate that our understanding of this behaviour is accurate.
And you having a rest mass cannot ever reach the actual speed of light, only a factor of <1.
If you were to travel with 95% of the speed of light your rest mass would increase by 3.2x ... at 99% by 7.1x at 99.9% by 22.4x and at 99.99999% by 2240x and so on. The Lorentz factor is infinite for the speed of light. Time "stops" and the object contracts to "zero" at c.
[1] - https://memory-alpha.fandom.com/wiki/The_Inner_Light_(episod...
Maybe their Voyager equivalent reached the wrong aliens in the dark forest.