get to
get to {v. phr.}, {informal}
1. To begin by chance; begin to. — Used with a verbal noun or an infinitive.
George meant to save his dollar, but he got to thinking how good an ice cream cone would taste, and he spent it.
On a rainy day, Sally got to looking around in the attic and found some old pictures of Father.
I got to know Mary at the party.
I was just getting to know John when he moved away.
Compare: TAKE TO (2).
2. To have a chance to; be able to.
The Taylors wanted to go to the beach Saturday, but it rained and they didn't get to.
Did you get to see the king?
Compare: GET AT (3).
3. See: HAVE TO.
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Source: A Dictionary of American Idioms