“HD” in terms of picture quality means little more than a resolution. So question: do you have at least 1080 horizontal lines on your monitor (i.e. a resolution of width x height = 1920x1080 or better?). This is stuff which can be put on a DVD at the cost of track length (just more data per frame). No problems there.

Additionally, depending on the blue ray disk in question, you may be saddled with HDCP (high-bandwidth digital content protection). This is DRM of the really nasty kind, because it means that your video card, your monitor, your choice of cable (e.g. need something like displayport or hdmi cable), your OS and your movie player must all support it. If any component fails or is otherwise not interoperable this scheme is supposed to downgrade the quality on the fly back to old DVD quality settings AFAIK. (Slightly better than PAL, so still a definite step up from what you were used to with NTSC.)

On the upshot: that same story holds for the telly version of the story. But there at least if you have a blueray player thing it ought to handle the first part (which your computer is) properly.

But here's the real question: what do you need blue ray quality for with Pink Floyd?