public virtual esriGeometryType ShapeType {get;}

{
    //Get an existing Layer. This layer has a symbol you want to use in a new layer.
    var lyr = MapView.Active.Map.GetLayersAsFlattenedList().OfType<FeatureLayer>()
            .Where(l => l.ShapeType == esriGeometryType.esriGeometryPoint).FirstOrDefault();
}