A translated international drivers license is required to drive in Russia. A national driver's license might be advisable as well.
Most international rules apply.
At intersections, the vehicle on the right has the right of way. At traffic lights you cannot turn right on red. Do not block intersections. To turn left, you must often turn right first, make a U-turn and go back across the intersection. Parking lights are required from dusk to dawn, but full headlights are not usually used at night.