1.
When someone puts through someone who is making a telephone call, they make the connection that allows the telephone call to take place.
The operator will put you through...
He asked to be ~ to Charley Lunn.
= connect
PHRASAL VERB: V n P, be V-ed P to n, also V P n (not pron)
2.
If someone puts you through an unpleasant experience, they make you experience it.
She wouldn’t want to put them through the ordeal of a huge ceremony...
PHRASAL VERB: V n P n