It just means that the value of 0 is equal to the value of 0, which is correct. It's like saying 2 equals 2, or 6 equals 6, or 52657 equals 52657... you get the point.
No, the Z-test is not the same as a Z-score. The Z-test is where you take the Z-score and compare it to a critical value to determine if the null hypothesis will be rejected or fail to be rejected.