You may as well just buy the "Death of Superman" comic book for around $10 but if your into the whole Superman death thing, then yes I'd buy it.
I actually saw entertainment tonights talking about the death then they showed the four new supermen,and thats actually (no lie) what got me into comics,i got the issue where pa went to the other side and found clark,and we see a couple page previews for the four supermen,then it blew up for me after that,i LOVED the reign ,every week i loved it,to this day that was the best every week ongoing story imo,followed by superboy,my favorite once a month book of all time.i still have the promotional reign of the supermen poster on my wall in my hobby room wall.
Doomsday was created to be what he did,nothing more,why ppl want to treat him like a real deep character is beyond me.hulk is a real character ,DD was a means for a end created by the superman team back then.when you think of him in his right actual context he is a badass character.
I have all the single issues and the three trades for the three stories,if i was you i would absolutely get the three trades.
Superboy,steel,hank henshaw,the eradicator,i am so happy for the reign storyline for giving us these great characters.