"Programming to an interface" happens when you use libraries, other code you depend upon in your own code. Then, the way that other code represents itself to you, the method names, its parameters, return values etc make up the interface you have to program to. So it's about how you use third-party code.
It also means, you don't have to care about the internals of the code you depend on, as long as the interface stays the same, your code is safe (well, more or less...)
Technically there are finer details, like language concepts called "interfaces" in Java for example.
If you want to find out more, you could ask what "Implementing an Interface" means...