I had a fascinating taste of what life must have been like for people who lived during the Jomon period.
ーI had a fascinating taste of what life must have been like for people who lived during the Jomon period.
「縄文時代に生きた人々の生活がどのようだったかという魅力的な体験をしました。」
have a fascinating taste of ... で「…の魅力的な体験をする」と言えます。
people who lived during the Jomon period で「縄文時代に生きた人々」
ご参考まで！
カナダ 
