Grief therapy is fundamentally different from other kinds of therapy for a few reasons, a primary reason being that both the therapist and the client have had their own experiences with grief and loss. In other therapies, the client may have a problem that the therapist has never experienced, so the therapist is operating purely clinically with no personal interjection.
This different way of doing therapy can feel odd to those who are more comfortable in a therapeutic experience that is more one-sided and hierarchical with the therapist being the expert on treatment and the client bringing the issue to be treated. With grief, we are all in the same boat. Not that your therapist will give great detail about their own story- therapy should always center on you as the client- but there is a different sense of community, a feeling like right now it is you going through this grief, but we have both been there and we will both be there again at many points in our lives.
And so, grief therapy is a process grounded in a horizontal relationship of equality rather than a vertical relationship of hierarchy and expertise. We are truly traveling together on the journey of grief. This is a collaborative process of digging into the meaning and purpose of life in the face of our mortality and limits.