I have seen several applications to profile DirectX and OpenGL applications, which measure Graphic Memory Usage. I were not able to find anything similar for WebGL.
On Mac, there's the OpenGL Driver Monitor that lets you track GPU memory use and what the GL driver is doing. On Windows, you could use the DirectX tools to hook up to Chrome's GPU process. It should give you data on the WebGL activity as on Windows Chrome is using the ANGLE OpenGL->DirectX translator to drive WebGL.