There are lots of Italian breads, some widely known such as la foccaccia or la ciabatta, the flatbread la piadina and breadsticks i grissini.
If you want to order bread in Italy, these expressions can help:
Il pane artigianale - artisan bread
Il panino - bread roll
Il pane integrale - brown or wholewheat bread
Il pane bianco - white bread
Il pane di segale - rye bread
La pagnotta - loaf
There is an expression in Italian - buono come il pane. It is used to talk about a person, and literally means that that person is as good as bread, or as we say in English - as good as gold.