Hello! I work in this area of law. Im so sorry for your loss.
The style can vary from geographical jurisdiction but in general:
An inquest is a final hearing and it is a court hearing but may be more informal than other types of court.
In advance you will receive disclosure of the evidence the coroner has gathered. This will include witness statements. The coroner will indicate which witnesses they are going to call to be asked questions.
If there is a witness the coroner is not intending to call but you disagree with their account or have more questions for them that are relevant then tell the coroners officer the reasons why you would like the witness to be called.
The coroner can look at phone evidence etc but it needs to be provided in advance so if you have evidence the coroner doesnt have you should send them a copy in advance.
In court the coroner asks questions first. They will take the most time. Then you have chance. Then any other interested persons if there are any. The coroner will help you you do not need a lawyer unless you want one.
A coroner is required by law to answer four questions. Who the deceased was, where they died, when they died and how they died. Anything outside of this will be considered irrelevant and you wont be allowed to ask about. E.g. deceased dies in 2026 of condition x and family are concerned about unrelated missed diagnosis in 2025 of other condition.
You will have the opportunity to speak if you want it. For example sometimes people are keen to express that the circumstances may suggest the loved one took their own life but they believe it was an accident because of xyz. You can tell the coroner anything you feel is relevant.
Inquests are public hearings so press can attend and report on what is said in court. There is nothing legally that can prevent this.
If you have specific questions feel free to PM me. I cant offer specific advice but can answer questions on the process.
Grief is a terrible thing and loss of a child is unthinkable. Sending solidarity in this awful time.