In this context, "get" means "to have the opportunity to"
It is a common usage in english! Another example is the expression "get to know (someone)", which means "to be able/ have the opportunity to know a person"
"Im looking forward to getting to know your mom!"
"You just won't believe it! I finally got to meet my sister's friend."
"What do you do when you want to get to know someone? Well, you know, sometimes I just go out at night and try to make some friends!"
These are some examples! Hope I've helped you!