From Shi Guiren's words, Xin Lin roughly understood that Qingtian Academy must be akin to a modern-day academy for nobles.
As for why Sikong Ran hadn't attended Qingtian Academy earlier, it may have been due to his background.
If she truly acknowledged her adoptive father, would she not be qualified to enter Qingtian Academy?
If she could join the academy, she wouldn't have to worry about Spirit Art and Martial Arts, nor fret over not having sufficient Heaven-defying Value.
"It looks like this year's Zixiao Palace Exam will be incredibly exciting. Brother, let's also sign up for the Zixiao Palace Exam, perhaps we can both get into Qingtian Academy."
Little Xinzhuo was brimming with enthusiasm.
He is a Spirit Warrior, only his life was short-lived in his previous life, and he never had his Spirit Root properly tested before his premature death, so this is a perfect opportunity; he too wishes to cultivate alongside his Sister.