The Record - In about a month, you will get a copy of the documents and decisions from your administrative hearing and any BOA review. There should be information about how to get a typed-out version of the hearing, including any testimony (a transcript). You should get the transcript if you think the facts in the decision are not correct. You may not need the transcript if you agree with the facts as written. If you have a low income, you will not have to pay for the transcript.
The State's Representative - An Assistant Attorney General (AAG) will represent DSHS or HCA. The AAG will send you a "Notice of Appearance" with their name, address, and phone number. After you get this, you must send this AAG a copy of any further papers you file with the court. This is your first chance to try to settle the case. Call the AAG. Talk about why you think the administrative decision is wrong. The AAG might contact you as well. The AAG cannot give you legal advice.
Scheduling (Setting) Your Case for Trial - Next, you must set your case for a hearing in the Superior Court so a judge can hear and decide the case. Every county does this differently. Contact the Clerk's Office of the Superior Court where you filed your case. Ask how to set a Petition for Review case for trial. The form you must fill out will probably be a "Note (or Notice) for Trial Setting." The Clerk will have the right form. You must fill out the form and make two copies. File the original with the Court Clerk. Send a copy to the AAG (and any other parties). Keep a copy for yourself.