It means that "a operation b" is the same as "b operation a". For example, in standard addition, 1 + 2 is the same as 2 + 1.
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what is the commutative operation of addition
Assuming you mean definition, commutative is a property of an operation such that the order of the operands does not affect the result. Thus for addition, A + B = B + A. Multiplication of numbers is also commutative but multiplication of matrices is not. Subtraction and division are not commutative.
Both union and intersection are commutative, as well as associative.
It works for some operations, for others it doesn't. Specifically, both addition and multiplication of real numbers are commutative.
No. It is not a group.