When uni starts, we won't have free time like we have now.
西洋の国々で「大学」は uni で省略されることが多いです。
学校が始まれば when school starts/when uni starts
今みたい like now
自由な時間 free time
なくなるだろうな we won't have/there won't be any
例文 When the new term begins, we won't have free time like we have now.
「新学期が始まったら、今のような自由時間がなくなるだろうね。」
参考になれば幸いです。
Once my school year starts, I don't think I'm going to have as much free time as I do now.
この場合、次のような言い方ができますよ。
ーOnce my school year starts, I don't think I'm going to have as much free time as I do now.
「新学年が始まったら、今ほど自由な時間は持てなくなるなあ」
to have as much free time as I do now「今と同じくらいの自由な時間を持つ」
ご参考まで!