As said above, you could just look at it, and look at the specs online, unless you want measurements as compared to the various parts of a cycle.
Yes, you will need some form of signal conditioning coming off of it since it converts the current to a lower current. If you look at the datasheet, they use a 10OHm resistor which gives maybe 100mV output. You can work with this, but it might be easier to build an amplifier to boost the voltage up to 3V max (or 5V max, depends what you are running at, or you can do 1.1V and use the internal reference). Additionally, you need to make sure to clip this onto only 1 lead of the washing machine. It won't work clipped over multiple wires cables unless they are basically carrying the same current in the same direction (so 2 wires in parallel works, but not if one is the Live and one is the Neutral) This could get dangerous since it involves exposed/semi-exposed wires.