If the car was stored someplace dry and reasonably warm, there probably won't be much condensation. That having been said, the oil is now well over 50 years old and has probably oxidized some over that long period of time, so it would probably be to your advantage to change it. If the car was stored on the dirt someplace, the oil is likely full of moisture and should be changed immediately. The top of the gear set that is out of the oil bath sometimes rusts over time and all that accumulated rust will come off as the vehicle is driven. The rust particles are a fine abrasive and can destroy the bearings in fairly short order. It would also be a good idea to pull the rear axles and repack the bearings, the grease that is in them is also likely deteriorated. With the axles out, it is a fairly quick job to pull the 3rd member for inspection and charge it with some fresh oil.
Dave