The term "judiciário" does not refer to a specific court, but to the judiciary as a whole. However, sometimes "court" is the best translation for "judiciário", e.g. "recorrer ao judiciário" can be translated as "to go to court".
There are multiple definitions - click on the translation that matches your context.
a place where cases are heard and justice is administered
The singer is due in court on 22 June for the hearing.
the judges and all other officers and jury
The court consisted of three judges and a small number of officers.