Do you think that being a teacher is a hard job?
Is not a hard job if you have interest of being a teacher. A teacher is a person who helps others to acquire knowledge, competences or values.
How much do teachers get paid, and what do they do during summer break?
It depends on location and school. Most teachers spends their time doing home lesson during summer 
Well that's good.  Do they get paid during the summer break?
Payment depends on the service  rendered 
Can teachers tutor over the course of the summer?
Yes they can.  In most countries, "formal" teaching of students is usually carried out by paid professional