1. With a 4 channel oscilloscope and four probes, measure:
Ch1 = low side gate to emitter/GND
Ch2 = low side collector to GND
Ch3 = high side gate to GND
Ch4 = supply to GND
turn on Math1 = Ch3-Ch2 (high side G-E), Math2 = Ch4-Ch2 (high side C-E).
2. With a proper differential probe (rated for the common mode voltage), probe high side directly.
3. With an isolation transformer on the DUT, probe just one side at a time.
(1) sucks because you need lots of channels (or on a two channel scope, you can only get one measurement at a time -- including analog scopes where you can invert one channel and ADD them for the same result), and the probes have to be perfectly matched, which they probably aren't. You also can't see much of a signal for the gate measurement, because each channel input has to cover the common mode range (too sensitive and it goes into clipping), most of which you have to subtract to see the actual gate voltage signal.
(2) is great, if you can afford the probe(s)...
(3) is almost always a bad idea, even with a very good isolation transformer, because that transformer still has quite a lot of common mode capacitance, which means you're blasting the full switching edge across the loop between probes, scope, power and return. The resulting measurement may be reasonable, but it will inevitably have something weird superimposed on it due to that common mode current (bounce and ringing at some odd frequency, perhaps in the 100s of kHz).
Another option is to set Vout = 0 (disconnect the bridge supply voltage, and leave the bridge unpowered, or even short out the rails) and read the high side gate waveform. This works for gross verification (is it getting gate voltage and swinging fast enough, yep, great), but isn't representative of the operating condition because it specifically excludes Miller effect (there's no collector voltage swing!). Which you can infer from the low side gate, if the waveforms are symmetrical, but no, you can never know exactly what the high side is without measuring it.
On the upside, it's not usually very important to measure it. You can tell from other aspects of the circuit whether it's doing its job or not (output rise/fall, AC supply current if you have an amp probe, etc.), and that's all that matters in a switching circuit.
Tim