Ways to use "and"

Question 1:

Two definitions of "and":

1.(used to connect grammatically coordinate words, phrases, or clauses) along or together with; as well as; in addition to; besides; also; moreover

2.also, at the same time:

My questions is, is the second definition only for when two things are happening simultaneously, while the first definition is for everything else?

To clarify, would this be correct?

"I sat in my chair and talked about the weather" (Definition 2)

"I watched you and John play" (Definition 1)

Question 2:

'take X and do Y"

is "and" being used in the above example as a way to separate the two clauses chronologically?