It depends on where the court is. Not all courts use stenographers. In some places audio recordings are made of proceedings. And in some places, there is no audio recording or court stenographer. Check with the specific court you are inquiring about.
Plenary
Court Reporter
The court reporter types out the transcript of the trial.
The person who writes everything down in a court session is called a court reporter or a stenographer. Their job is to create a verbatim record of everything that is said during the proceedings using a stenotype machine or other recording equipment.
A Judge, a Bailiff, a Court Clerk, (occasionally) a Court Stenographer
It is usually a court reporter or a stenographer.
The American term for shorthand typist is typically referred to as a stenographer or court reporter.
The stenographer
Court Reporter
If it is a federal holiday, no.
Court reporter/stenographer
A stenographer or court reporter