Question

The root of the word conductor gives a clue that this word means

Answer 1

The latin word of the word conductor is Conducere, which means 'bring together'
That was a conductor usually defined as some one who bring a group of people together and lead them. ( for example, conductor of an orchestra)

hope this helps

Answer 2

duct means "to lead"
conductor means
1. employee on a bus, train, or other public conveyance, who is in charge of the conveyance and its passengers
2. leader, manager, director