Array subscript brackets "[]" are defined in terms of pointer operations. a[i] is defined as *(a+i), assuming that a is of type array and i is an integer type. The name of an array by itself is evaluated as a pointer to its first element; integer addition to a pointer adds the integer times the sizeof the element to the pointer. (a+i) and *(a+1) are not the same - (a+i) is the address of an element in an array and *(a+i) is that element.
Thus a[0] becomes *(a+0), or *a, the first element of the array. A[1] becomes *(a+1), or *(a + (sizeof (*a) * 1), or *(address of the second element of the array), or just the second element of the array, as one would expect.