That is something you will have to find from inside yourself. That, I think, is the toughest part about dreams. It could be your guide, a totem, some aspect of yourself, something challenging you need to face, and so on.
Consider how you feel in the dreams. If it is very realistic, I imagine you'll have a bit of an adrenaline rush, but there may be more to it than that.
Does the wolf just stare?
Is it in the path you are taking in the dream, or is the grove a place you seem to be spending time?
Is that the only aspect of the dream?
If you can break into any level of lucidity, you can ask the wolf questions. Sometimes one before it becomes too mentally involved (at least I have the tendency to wake up from lucid dreams from trying too hard sometimes).
Maybe meditate, visualize traveling to the grove, and resting in view of the stump. Don't force the vision of the wolf to arrive, but see if it comes. In your meditative state, it is a good time to ask questions:
"Are you my guide?"
"What do you want me to learn?"
Others here may have some better advice for you.