I'd like to see what kind of town you lived in during your high school and university days.
この場合、次のような言い方もできますよ。
ーI'd like to see what kind of town you lived in during your high school and university days.
「あなたが高校と大学時代、どんな街で暮らしていたか見てみたい」
during one's high school and university days で「高校・大学時代」と言えます。
ご参考まで!