Can the school see my browsing history if i'm at home?

so i've been paranoid for who knows how long now.. maybe 13 weeks because I searched up something illegal on my school account. If i was signed into my school account (on google not the actual computer login), can my school see my browsing history if I was not using the schools wifi? Also I used my own computer. My schools system is Gsuite (google apps for education).
Can the school see my browsing history if i'm at home?
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