Depends on whether or not there is a Confidentiality/Protective Order in place, and if so, what the terms of such an Order say. Almost every case of this nature would be subject to some sort of Confidentiality/Protective Order. Generally, the parties would be able to designate documents, deposition testimony, etc., as Confidential. Sometimes there are multiple levels of confidentiality baked into one of these orders (for example, a "HIGHLY CONFIDENTIAL" designation might mean that only outside counsel can review a produced document).
Generally, documents marked as such must be filed under seal, cannot be disclosed publicly, etc.