I assume you are using LineTo's the only way I could think of would be to keep a min/max stored for the height and width as the user is drawing paths. Other than that the only way to pull back info from the canvas would be to use getImageData which will only give you raw pixel information.
Although you have to track it yourself, I would suggest wrapping it up in reusable functionality. Here's a minimal example, tracking it only for moveTo and lineTo. See the live example here: phrogz.net/tmp/canvas_bounding_box.html.
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