The audio signal IS an electric current. Its just a current with the voltage changing at the same frequency that the string vibrates (in the simplest explanation). Everything between the guitar strings and the amp's speakers is just an electric current with changing voltages (unless there's something digital in your signal chain)
For our purposes, the audio signal will behave like any other electric current through a circuit. The same thing would happen if you had 2 9V batter clips attached to the positive and negative terminals of an LED. So imagine the 2 wires from one battery connecting to the 2 terminals of the LED and the 2 wires from another battery clip connecting to the same 2 terminals of the LED at the same points. So, the 2 battery clips are effectively connected to each other as well as to the LED. Now, you could connect a battery to one clip and the LED would light up. You could connect a 2nd battery to the 2nd clip and the LED would get more power OR you could also touch another LED to the terminals of the battery clip and it would get power from the 1st battery and both LEDs would light up.
So how does this relate to the guitar and amp? A string passing over the magnet in your pick ups induces a current to travel travel out your guitar, thought your cable, and into your amp. So, in this case you could think of the pickup as a battery (since they both cause a current to travel through a circuit), you could thing of the amp input jacks as the battery clips, and the amp as the LED. Since the jacks are effectively wired directly to each other, as long as there's something causing current to flow, connected to one side, the other side can be either another input, or an output.
Is that more clear?