If you are a party in the lawsuit where the plaintiff's deposition was taken, you definitely have the right to a copy of the deposition. To do that, you have to contact the court reporter who took the deposition and make arrangements to pay her for it.
Yes you have a right to get a copy of the deposition from the court reporter who transcribed it once you pay for it. Contact the court reporter to find out the cost. In order to save time and money you not only can, you certainly should. It will show you how questions are asked as well as give you the answers that were already made by the party under oath. If you are not sure who the reporter was, contact the attorney who took the deposition of the other party and they will know. If there are any documents that would help prove or disprove a claim in the case, then you may want to also serve a request for production of documents too, when you start your "paper" discovery. Note: if this answer helped, check the AVVO box below.