So, a bonded medical place is like a special promise that someone makes. When you promise to do something, you usually just use words. But when you're making a bonded promise, you have to do something extra to show that you're really serious about keeping your promise.
In this case, a medical place is a spot in a program or school where they teach people how to be doctors or other healthcare workers. And when someone wants to get into one of these programs, they might have to make a bonded promise.
What that means is that they promise to work in a certain area or for a certain group of people after they finish their training. For example, they might promise to work in a rural area where not many other doctors are available, or to work with patients who can't afford to pay for medical care.
By making this bonded promise, the person is showing that they really care about helping people who need it most, and that they're willing to be held accountable for their promise even if it means they have to work in a place or with people they didn't originally plan on.