An example of you're is a mother telling her son that he is coming to the store with her.
You're smarter than I am!
I'm awfully glad you're my brother.
Are you sure you're alright?
I think you still need someone here, but you're definitely getting better.
I sure hope you're going to deliver what you've been promising all evening.
Natasha, how glad I am you're not angry with me!