I didn't say the green filter was passing UV and IR. I just said it could be. It is passing green, and presumably blocking the rest of the visible spectrum, but UV and IR aren't visible, so you'd never know by looking at it if it was blocking or transmitting those frequencies.
From my experience, most visible light filters pass IR. They probably don't pass UV, but they could - you don't know unless you test it yourself or find a spec sheet on it. I've attached an image of B+W transmission curves. The 'green' filters are the 060 and 061. Notice how much IR they pass, especially the lighter green one. It looks like neither pass UV, at least as far as the graph it up to 300 nm. Presumably they don't pass much above that. Transmission of UV in the atmosphere stops around 200 nm.
If you look through the B+W filter guide, they have numbers in square brackets after some of their names. For example, the B+W IR filter 092 has a [RG695] after it. That's the type of Schott glass used for the filter. You can look up the transmission curves somewhere on the Schott website - I found them once but couldn't find them just now. Or you can just look in the B+W transmission curve PDF.
I also wanted to stress again that the 'native' sensitivity of film is UV/blue. That's why the alt processes use UV (UV photons have more energy than visible light, i.e. photoelectric effect) and why early films were ortho. The technology progression of film has been to extend sensitivity in the red direction. Digital sensors are the other way around. They all have hot mirrors to block IR, because they have huge sensitivity in the IR. I don't know what their UV sensitivity is. And also, just because the IR is below red, doesn't mean that the digital sensor is going to interpret IR as red - the green and blue channel filters could also transmit IR too. Same goes for UV on a digital camera - the RGB filters are designed for performance in visible light. The hot mirror takes care of the IR sensitivity and presumably the optics take care of the UV (most optics don't pass UV that well, and optical cements also filter UV).