Push-pull describes an arrangement of components that includes transistors - it really doesn't describe a particular transistor.
My basic understanding of push-pull:
If you have an AC waveform then it's understood that the voltage rises above and then falls below zero, a point of reference, possibly ground or earth. In push-pull one transistor takes care of one side of the waveform - the other transistor takes care of the other side of the waveform. I understand that the benefit to this is that when the incoming signal is zero both transistors are off - dissapating little power.