Hi Ethan,
“We hit it off/click” means that some people who just met for the first time, after interacting for a little while, became friends immediately. If it’s a romantic situation, it means the couple liked each other right away.
“Get along with sb” means that you are friendly with them. Whenever you interact or hang out with them, you agree on a lot of things and there are almost no disagreements or issues.
“Have a rapport with sb” means that you don't know someone very well, but every time you’ve interacted with them, it was a positive experience.
I hope that helps!