All across the country, physical therapy programs are becoming more and more competitive, and the most qualified and dedicated individuals are being selected to enter.
Admissions essays are not the place for making obvious statements. This sentence doesn't give any new information to the reader, and hence, is a waste of space. Sorry for being so blunt. Try to make every sentence count.
Your second sentence also suffers from the same problem.
For me your essay actually starts from the third sentence.
I quickly learned the importance of being humble, forgiving, self-disciplined, honest, and the hard work needed to achieve excellence.
This is all fine, but it would be better if you can highlight those with the help of some personal experiences or examples. Do you know what I mean? Anyone can say they have those qualities. It's up to you to distinguish yourself from others.