An apparatus for measuring thickness and/or basis weight of a web or film has a frame defining a measurement channel between two opposing frame faces. A first sensor component is on or appended to the first face and a second sensor component is on or appended to the second face of the frame. A series of rollers guide the web or film into the measurement channel in an overlapping relation such that at least two portions of said web reside in said measurement channel for detection by the sensor. The frame may be a C-frame gauge, and the sensor may be two capacitor plates. One sensor component is a source, while the opposing sensor component is sensitive to the source emission. The combined thickness of the portions of the web residing in the measurement channel is determined based upon the degree to which the web or film attenuates the emission.