Hey, you know I didn't get to be where I am today without taking some risks.
= same as =
Hey, you know I didn't acquire the position that I am in today without taking some risks.
...implying that the speaker is in a "high position" with the company they work for, and possibly implies that they earn lots of money.
After thinking more about it,
"I get to" implies a good, positive thing that is going to happen to me (either now or in the future).
It is the opposite of "I have to" which implies I am not happy about something that I need to do (either now or in the future).
I get to fly an airplane tomorrow! :-)
I get to go home and see my children now! :-)
...as opposed to:
I have to go to the dentist tomorrow. :-(
I have to go home and see my children now. :-(