Could you explain what the highlighted parts mean please?
An added benefit of Valerie's schedule is that it corresponds closely to her 13-year-old daughter's schedule, which means they have more time to spend together. "I love that I get to see her first thing in the morning, and make breakfast for her," Valerie says. She also hopes that her good sleep habits will rub off on her daughter, and that she will grow up with a healthy appreciation of sleep and its importance. "I certainly don't take sleep for granted like I used to."
If " to get to do something" means "to begin to do something" , can we use it in both forms :
For example :
I love that I get to see her first thing in the morning
I love that I get to seeing her first thing in the morning
Because a source says it should be used ing form after get to
get to doing something to start doing something
He got to thinking that it was all his fault.