Try to imagine what your reader would want to know about your experience. Here is a little verse by the famous writer Rudyard Kipling which is worth remembering for almost any writing project:
I keep six honest serving men
(They taught me all I knew);
Their names are What and Why and When
And How and Where and Who.
As your reader, I would like to know especially what is unusual about this person. I would like to see examples of what he or she does that makes him or her unusual. Is this person a male or a female? What does he or she look like? Is there some romantic aspect involved. How did you meet him or her? Where did you meet? Was it an accidental encounter or were you introduced? Are you going to become friends? What do you like about this person? What do you dislike, if anything? What does this person think of you? Are you unusual too? If so, in what way?
You might begin by making a list of answers to questions such as these just to get started and doing so without trying to fit your answers into an essay format. Then when you have a fairly complete list, you could think about arranging them into a narrative. I suppose your essay would have to be in a narrative form, since it is describing an event.