This anime is basically a short story. This is an 'end of the world' type of story, read the description. As for if you should watch this. Well, if you don't have anything else to do and you have watched almost every other anime, then maybe give this one a try.
It had a story, but not really much of a plot. The ending is sad. You don't watch this kind of anime to feel good. Just skip this one and feel good that you saved a few hours of your life to watch something much better. That is my suggestion and review.