I would like to know if I can obtain minutes from a court hearing, and how I would go about doing it.
If by "minutes," you mean a transcript of the hearing or trial, contact the clerk's office. You will have to order a copy, probably as a tape recording or, in some courts, from the court stenographer's tape. You would take to a court reporter, who will prepare a transcript for you.
Neither the tape nor the transcript will be free, or even cheap.