Right now I'm using an N-Channel MOSFET. I am inputting a 2V pk-pk square wave into the gate, the drain is connected to a bare wire (that is connected to nothing) and the source is connected to ground. For some reason there's a voltage reading in the drain of my MOSFET. Is this normal?
If you see just the "edges" (positive/negative peaks at the times when there are rising/falling edges at the input signal) it can be explained by the capacitance between gate and drain.
There is a capacitance between gate and drain. So some signal may get to drain.
blue = output signal (on floating drain)
So, yes, it is normal, that signal gets from gate to floating drain.