The present invention relates to an apertured web formed from a polymeric film having permanent hydrophilicity which is suitable for use as a topsheet in an absorbent article. One embodiment of the present invention is a multi-layer polymeric film having a first layer, a second layer, and at least one intermediate layer between the first and second layers, where one of the first or second layers is a block copolymer of a polyether and another polymer and the other layer is a hydrophobic layer as defined herein. Methods of producing such webs are also disclosed. The present invention also pertains to absorbent articles which preferably include a topsheet in accordance with the present invention, a backsheet secured to the topsheet, and an absorbent core positioned between the topsheet and the backsheet.