Generally legal assisted suicide doesn't mean "the government helps you commit suicide" - it means it's not illegal for a doctor assisting a patient to commit suicide.

It's called euthanasia. You can ask the medical system for an assisted suicide if your life situation is extra painful with no hope for recovery.

This case got heaps of media popularity because the christian right wing latched on it, and the father tried as hard as he could to impede the euthanasia. Ultimately got told that the lady unequivocally wants it and qualifies, and he can't override that.