This is called a square or a rhombus. If the vertices of the four corners are all right angles, it is a square. Otherwise it is a rhombus.
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Not all polygon have two pairs of parallel sides. For example, a square will, but not a triangle.
An isosceles trapezoid has a pair of parallel sides and a pair of equal base angles
A rectangle perhaps?
Any polygon with more than 3 sides can have two pairs of parallel sides.If it has only four sides and they make two parallel pairs, then it's a parallelogram.
An irregular quadrilateral, though it could possibly be a kite if there are two pairs of sides of equal length