What is the Hebrew name for Catherine?

Catherine is a Greek name meaning "Pure".

There is no Hebrew name for Catherine, but you can spell it קתרין

The name Catherine/Katherine comes from the Greek name Αικατερινη (Aikaterine). The etymology is debated: it could derive from the earlier Greek name ‘Εκατερινη (Hekaterine), which came from ‘εκατερος (hekateros) "each of the two"; it could derive from the name of the goddess HECATE; it could be related to Greek αικια (aikia) "torture"; or it could be from a Coptic name meaning "my consecration of your name". In the early Christian era it became associated with Greek καθαρος (katharos) "pure", and the Latin spelling was changed from Katerina to Katharina to reflect this.

The name Catherine is Greek, so it has no Hebrew meaning. Only Hebrew names have Hebrew meaning.