hmm you start this a different way but yes you could see the purpose of an op amp to be used as creating a more idealistic voltage source.
basically the connection from the output to its inverting input creates a feedback loop. this feedback loop is a negative feedback, meaning it will try as best it is capable at self balancing.
I am not sure how much you care to go inside the op amp but basically the innards steer current based on the input voltages, if output starts off at ground and you apply a pos voltage on the input, you it will cause the output to go up, since the output is connected to the other input, that input goes up and this feedback actively occurs until the point that again to the best of the amplifier's capability both inputs are equal and the loop has settled. so V- is now equal to V+, and since v- = vout, vout=v+.
now about the term voltage sensor. It is more commonly referred to as a voltage buffer. Because as you said with a low output impedance it behaves more like an ideal source. This means that loading the output wont affect the signal itself (again limited tot he amplifier's capabilities). Also the amplifiers input is very high impedance, so that it doesnt load the original signal. because of the high input impedance and low output impedance it is commonly used as a buffer to isolate a voltage node from the loading that you need to apply on that voltage node for application you are designing.
-Pb