The trick is to use a combination of the Polygon class methods:
from shapely.geometry import Polygon
# Create polygon from lists of points
x = [0.0, 0.0, 1.0, 1.0, 0.0]
y = [0.0, 1.0, 1.0, 0.0, 0.0]
poly = Polygon(zip(x,y))
# Extract the point values that define the perimeter of the polygon
xx, yy = poly.exterior.coords.xy
# Note above return values are of type `array.array`
assert x == xx.tolist()
assert y == yy.tolist()