That book is really interesting.Can I read it after you're done?

问题描述:

That book is really interesting.Can I read it after you're done?
此句中如何分析“after you're done”?被动语态?怎么是be done形式?我迷糊了.

after you're done with reading it.
这里省略了后面的部分
be done with something,完成了某事
I am done with my homework.