1) A company is under no obligation to provide anyone, including the affected employee,  with a copy of any write-ups, disciplinary notes, the personnel file more generally, etc.2) The company's notes or write-up is not a legal document, and so have not legal effect per se. However, they are evidence of why you were discharged, the same way as a comments or testimony from a supervisor would be evidence. The company is presumably showing them to the unemployment office to show why you were terminated, the same as they could simply have written an email or letter to the office, spoken to a hearing officer over the phone, etc.