The reason you need it is because, if you update a with a new value, you won't be able to calculate the new value of b. You could always use temporary variables to keep the old value while you calculate the new values, but this is a very neat way of avoiding that.
It's called sequence unpacking.
In your statement:
a, b = b, a + b
the right side b, a + b creates a tuple:
>>> 8, 5 + 8
(8, 13)
You then assign this to the left side, which is also a tuple a, b.
>>> a, b = 8, 13
>>> a
8
>>> b
13
See the last paragraph the documentation on Tuples and Sequences:
The statement t = 12345, 54321, 'hello!' is an example of tuple packing: the values 12345, 54321 and 'hello!' are packed together in a tuple. The reverse operation is also possible:
>>> x, y, z = t
This is called, appropriately enough, sequence unpacking and works for any sequence on the right-hand side. Sequence unpacking requires the list of variables on the left to have the same number of elements as the length of the sequence. Note that multiple assignment is really just a combination of tuple packing and sequence unpacking.