finish后面的动词加上ing吗

对，短语finish doing something.....完成做某事。。

finish + doing sth. 是说明完成了刚才做的某事
finish + to do sth. 表示完成了刚才做的事后去做另一件事

恩.
finish doing something 做完某某事

finish doing sth.意为“做完了某事”。

Finish doing something=做完一件事情。 在口语中也说 be done with sth./doing something.
I am done with typing my homework paper
I've almost finished typing my homework paper.

是的，finish+doing sth