Conflict between and among brothers and sisters can take all the forms that occur among adults: loud arguments, sports competition, physical fights, property destruction, etc. As the list suggests, some forms will require parental intervention, while others may be safely left to the kids to work out for themselves.
The first key element in helping siblings resolve conflicts is to use what is beneficial from adult life, times ten. Children, of all ages above about three or so, are keenly sensitive to issues of justice and fairness.