get to infinitive

Get + ing: start doing something

Let's get going.

Get + O + ing: make somebody/something start doing something

Don't get her talking about her problems.

Get + to do: manage / have an opportunity

When do I get to see you again? = When will I have an opportunity to see you again?

I didn't get to see him = I didn't manage to see him.

Get + O + to do: make somebody/something do something 

I couldn't get him to sign that paper.