My understanding is that you have List1 and List2 and that you want to find the best performing way to find result[index] = List1[index] + list2[index]
My main suggestion is that before you start optimising for performance is to measure whether you need to optimise at all. You can iterate through the lists as you said, something like:
for(int i = 0; i < listSize; i++)
{
result[i] = List1[i] + List2[i];
}
In most cases this is fine. See NPE's answer for a description of where this might be expensive, i.e. a linked list. Also see this answer and note that each step of the for loop is doing a get - on an array it is done in 1 step, but in a linked list it is done in as many steps at it takes to iterate to the element in the list.
Assuming a standard array, this is O(n) and (depending on array size) will be done so quickly that it will hardly result in a blip on your performance profiling.
As a twist, since the operations are completely independent, that is result[0] = List1[0] + List2[0]
is independent of result[1] = List1[1] + List2[1]
, etc, you can run these operations in parallel. E.g. you could run the first half of the calculations (<= List.Size / 2) on one thread and the other half (> List.Size / 2) on another thread and expect the elapsed time to roughly halve (assuming at least 2 free CPUs). Now, the best number of threads to use depends on the size of your data, the number of CPUs, other operations happening at the same time and is normally best decided by testing and modeling under different conditions. All this adds complexity to your program, so my main recommendation is to start simple, then measure and then decide whether you need to optimise.