Your question highlights one of the reasons for confusion. Ground is at ZERO volts (electrical potential) with respect to - what? - the GROUND! In most electrical systems some part of the device or system is connected in some way to the earth outside. For example, in most homes at the breaker panel there is a separate wire (often bare copper) connected to a Ground Terminal in the box, and out to a solid connection to the metal water supply pipe entering the house. This depends on the idea that the buried water pipe, many feet long in the earth, has a good enough connection to the earth that it really does have the same electrical potential - that is, it is ZERO volts different from the real earth. Moreover, that connection is good enough that any small current trying to flow through the wire to the earth can do so with very little resistance, so the wire can stay at zero volts even when it is carrying a modest current to the real Ground.
In modern house systems, all the cables from the panel out to outlets in the house have at least three wires: one is called "Hot", and is the power "supply"; one is called "Neutral", and it is the path for current return; the third (usually bare) is called "Ground", and its only function is to be prepared to carry current directly back to the Ground terminal in the box (and hence to the real earth) in an unusual situation. For all normal situations, there should be absolutely no current on the Ground wire. With no current flowing through it, its potential really is a zero volts with respect to true earth Ground.
Now, the truth is that the "Hot" and "Neutral" lines really are just two ends of the transformer winding on the unit supplying your house (or, more precisely, one end and a center tap, but that's another detail to confuse you). By convention, however, in the USA, Canada and many countries, household wiring systems actually connect the power supply transformer's center tap line to real earth ground, both at the transformer on the pole and in your house breaker panel. That establishes a relationship, or a reference point, such that the "Neutral" lines all through the house should be close to zero volts with respect to the earth at all times. However, the Neutral lines DO carry significant currents (they are the electrical return path for the current supplied buy the Hot line); that means, because they have a small but non-zero resistance, that a Neutral line may actually have a non-zero voltage on it in many places. So it is different from a true Ground line.
Now back to consumer devices - for example, an audio amplifier with outputs to speakers. For each speaker there MUST be two wires so that current can be sent out to the speaker, through it, and back on the other wire to the amplifier. That is a circuit, and you must have both wires for a complete circuit that will carry a current around it and through the device (speaker) that is doing the work. It happens, since the voltages in such a circuit are small, that many manufacturers design their amplifiers so that, at the output of the speaker circuit, one of those two wires actually is connected to the metal chassis of the amplifier, which also is connected (via the ground (often green-covered) wire in the unit's power supply cord) to Ground in the electrical system of your house. So we've all got into the habit of calling one of the two speaker wires a "Ground" wire, and the other the "Signal" wire. In some speaker cables the cord actually contains two "Signal" wires (one for each of two speakers) but, instead of two separate "Ground" wires for the two return paths they use only one, because they both end up going to the same place at the amplifier end.
In professional systems like broadcast studios and high-end consumer systems this design, with one side of a circuit connected to true Ground, is not used. Instead, in each circuit there are two wires (call them + and -) to complete the circuit, and both are isolated from true Ground. Then a real Ground lead also is used, often as a noise shield to protect the other two electrically. These "balanced" circuits with differential amplifiers have superior characteristics for noise reduction, etc. and that's why they are used in the best systems, but not in most consumer-level systems.