import arcpy
fc = r"c:\temp\feature.shp"
desc = arcpy.Describe(fc)
geomField = desc.shapeFieldName
To read the geometry use a search cursor to access the row's geometry field
rows = arcpy.SearchCursor(fc)
for row in rows:
feat = row.getValue(geomField)
# do something
del rows, row
Use the getPart() function to get dig into the actual geometry object.
Enjoy