Conn. Gen. Stat. § 45a-136

Whenever, in any court of probate, a recording of the proceedings is not required to be made pursuant to any other provision of statute, upon the written request of a party or a party's attorney, the judge of probate shall cause a recording to be made of the proceedings. A proceeding in which a recording has been made pursuant to this section shall not be deemed to be a hearing on the record for the purposes of section 45a-186a or a matter heard on the record for the purposes of section 45a-186b . The cost of any copy or transcript of such recording shall be charged against the person requesting it. Any recording under this section shall be made and retained in a manner approved by the Probate Court Administrator.