Hope's Peak a prestigious high school in Japan that only accepts students who are the absolute top of their respective fields. So, for example, if you're the leader of a nationally adored idol group, you'd get accepted as the elite of that category and be titled the Super High School Level Idol. Or if the ace of Japan's champion high school baseball team would be accepted as the Super High School Level Baseball Player. It also offers free tuition and guarantees your success in life, but I don't know how true that last part is...

[ he didn't regain any knowledge about the school's long history and relationship with the government so ]

That's the school that Kyouko and I attended.

[ though he doesn't sound too cherry about that... ]