and之後的句子都有stop的意思嗎?

(1)He stopped-----s+vt/vi
what he was doing-------noun clause of purpose, depending on s+v
It means himself from doing something eg:-running
(2)and drank some coffee
=to have a rest by drinking coffee
=stopped and started to drink a coffee
=meaning to drink some coffee

The conjunction 'and' is often used to link two clauses and make them into one sentence. When words at the beginning of the two respective clauses are the same, those words are often omitted in the second clause.

The sentence you have here is made up of the two clauses below.
He stopped what he was doing.
He drank some cofffee.

The word 'He' is omitted in the second clause.

In order to have the meaning you mentioned in your sentence in Chinese, the two clauses would look like this, after adding back the omitted words..
He stopped what he was doing.
He stopped drank some coffee. (which is not grammatical)

你理解錯了。

"He stopped what he was doing and drank some coffee."
「他停止了他在做的事，並去喝咖啡。」

結構：
He stopped (what he was doing) and drank some coffee.
(...) = something

也留意 stopped 和 drank 皆是 simple past tense 的 past participle form，並列於句子。
即是 He stopped xxx and drank yyy.