It sounds like that you have to write an essay based on some part of the play. The concept of an essay would involve having to focus on one particular part of the play and using textual analysis, compose a writing sample upon that prompt. The concept of an "essay summary" is a bit unknown to me. You might have to write a "summary" of the play in the form of an essay. This might be difficult to do because the play is so intricate and so very complex. I would think that you might have to write an essay about some part of the play. In terms of moving on to writing it, you have a couple of options in front of you. One such option might be to ask your instructor for further clarification, if confused. If this is something that cannot be done and you would rather pursue the electronic format, forums such as this one could help. I think the "heavy lifting" of writing and researching would have to be done by you, but I believe that enotes' could be a forum where you could receive feedback or clarification about your work.