The phrasal verb get to is very common in English.
The most straightforward use of get to simply means "to arrive":
We have to get to the airport by 6:30.
I didn't get to the party until late.
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Often, get to means "to be able":
I'd like to get to know her. [=I'd like to meet her and learn about her.]
How do you get to play tennis so well? [=How are you able to play tennis so well?]
They don't get to go on our weekend trip. [=They are not able to go on our weekend trip.]
Some kids don't get to play in the finals. [=Some kids are not able to play in the finals.]
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Get to can also be an idiom that means "to annoy":
His tone of voice really gets to me sometimes.
All these delays are starting to get to me.