the thing she said was most important to write about with gestalt therapy was Janie Rhyne so lets start at least w/ her.
Gestalt Art Therapy was developed by Janie Rhyne, a pioneer Art Therapist, who was trained by Perls, and worked with him in the human potential movement. Rhyne combined the Gestalt experimental approach, which focused on sensations and perceptions with the work of Rudolf Arnheim. In Gestalt Art Therapy a wide diversity of art materials are used to express
feelings and experiences and it is the client who does the interpreting w/ the assistance of the therapist.
Gestalt Therapy is an experiential approach that, like other humanistic approaches, emerged in reaction to psychoanalysis. The word "Gestalt" means whole, form or configuration which is greater than the sum of it's parts. The aim of a Gestalt
approach is to encourage and insist on responsible, honest, direct, and authentic communication between the person and the therapist.
As in existential and person-centered approaches, therapy is a mutual exploration of feelings and thoughts between client and therapist. The therapist is also part of the overall "Gestalt" and is considered part of the whole process.

A better way of explaining this relationship is by explaining between client and therapist is to refer to the work of the esteemed 20th century Jewish Philosopher Martin Buber's writings which had a seminal impact on Gestalt therapy. Perls was the first to describe the
importance of Buber’s (1958) Jewish concept of an I and Thou relationship to G-d as comparable to the relationship between patient and therapist in Gestalt therapy.

By “relation with God” Buber means an immediate and direct (I-Thou) relationship that
is always spontaneous and in the moment. The immediate and direct relationship also
involves dialogue.
God …cannot be spoken of, but …spoken to. …cannot be seen,
but can be listened to.*
Buber differentiated I-Thou relationships from I-It relationships

The second is to be manipulated, the first is not.

Martin Buber explains that one's I-Thou relationship to G-d is comparable to the relationship between patient and therapist. Man's relationship to G-d is not a one way relationship. It to some degree must have some type of interdependence or else it's just another form of isolation.

Love, as a relation between I and Thou, is a subject-to-subject relation. Buber claims that love is not a relation of subject-to-object. In the I-Thou relation, subjects do not perceive each other as objects, but perceive each other’s unity of being. Love is an I-Thou relation in which subjects share this unity of being that involves caring, respect, commitment, and responsibility.

http://www.angelfire.com/md2/timewarp/buber.html
http://www.g-gej.org/4-2/crocker.html


I-It relationships are relationships wherein practicality is the leading characteristic.

I-Thou relationships, on the other hand, are different, being "contemplative" rather than practical. The Person or “Other in other words” is an end in itself and not merely a means to another end.
Buber explained
According to Buber, human beings may adopt two attitudes toward the world: I-Thou or I-It. I-Thou is a relation of subject-to-subject, while I-It is a relation of subject-to-object. In the I-Thou relationship, human beings are aware of each other as having a unity of being. I thou relationships are based on mutuality and reciprocity, while I-It is a relationships are based on separateness and detachment.
Aside from establishing a certain type of relationship as previously mentioned, Gestalt Therapy aims to enable the client to become more fully and creatively alive and to become free from the blocks and unfinished business that may diminish satisfaction, fulfillment, and growth, and to experiment with new ways of being.

Gestalt therapy puts the emphasis on what is being done, thought, and felt at the present moment, rather than on what was, might be, could be, or should have been. In other words, Gestalt therapy is a method of awareness practice that puts you in the present moment. It is sometimes called and is similar to the Mindfulness meditation, for example, the type of meditation popularized and used by Theravada aka Hinayana sect of Buddhism. .Through this awareness perceiving, feeling, and acting are understood to be conducive to interpreting, explaining, and conceptualizing. Because so more emphasis in this therapy is placed on empirical experience Gestalt Theory seems to be very similar to Buddhism as Buddhist Meditater's typically view direct experience as the ultimate determinant in understanding the nature of reality in contrast to the typical western scientific method which relies more on measurable calculable data.

then at the end list the different types of gestalt therapy including the empty chair technique.