Sometimes, sometimes not, sometimes for a while, then there will be a fight. Sometimes that settles it, sometimes not, if not they will fight and fight, often time till bloody, sometimes till death.
It says you are new egg - so I will give some unsolicited advice. Take it if you want. If this is your first experience with chickens, keep only the pullets. If you have small children under the age of 5, keep only hens. Roosters take some experience, and often times newbies do not really recognize the indicators of aggression. Roosters are a crap shoot, some can get very violent, and will generally attack small children, then women then men. Little children will take the attack at eye level, not worth it in my opinion.
Often times rooster chicks are darlings. They are brave and come forward to be petted and cooed over. People love them and are sure if they just treat them nice, like one would a puppy, they will grow up to be a pet. This forum is full of horror stories where the darling became a nightmare in an instant.
I would really encourage you to get rid of both of them if this is your first flock.
Mrs K