Uber has been testing Family Profiles since March in several cities around the US. But as it is with all things family, you can't be too cautious and it won't hurt to keep an open eye on everyone. That's why the company is introducing Trip Tracker.
Uber only provided iOS gifs and images. Sorry.
After you set up a family profile, when one of your family members hails an Uber ride, you'll get notified so you can know all the details of their trip and follow the progress live. You'll know when they've left, which route their driver is taking, and when they've reached their destination. You'll both get a copy of the receipt, but only you will be billed for the ride as the family head.
The feature should already be live in all cities where Uber's Family Profiles are available.