No, Satoru Gojo does not die. This is a straightforward answer to the question. But, something else happened that stopped Gojo to unleash his wrath over Curses. From the very beginning of the series, Geto's plan was to either Kill or Seal Gojo. And, they planned to execute this on 31th October at Shibuya. While they were causing havoc in the area, Gojo intervened and accidentally got sealed in a Prison Realm. Though, it's not clear whether he freed himself from this, but, even in the latest chapter of Manga, we haven't been able to see Gojo intervene in the battle.