Procedural justice is also known as natural justice, meaning that both terms are used interchangeably.
If we compare your definition of natural justice to that of the Australian Human Rights Commission, being:
"The accepted notion of natural justice in this country is that everyone is entitled to a decision by a disinterested and unbiased adjudicator; and that the parties shall be given adequate notice of the case against them, and a right to respond."
We can deduce that your definition of natural justice is correct and that you could possibly expand your definition to not only being heard, but also being judged in the same unbiased manner in which a party is heard, in addition to not only being informed of the case against a particular party, but also being given a right to respond.
I hope this helps!