This happens to be vaguely in my area of expertise so here goes… sorry about the long post!
So, first off, if you look at a relief map of Idaho, you’ll notice the Lower Snake River plain in the south which looks basically like a giant line running from the Owyhee area of SW Idaho/SE Oregon/NW Nevada all the way to present day Yellowstone. The valley is almost exactly as big as the caldera in Yellowstone so it is obviously the hotspot track. The whole track is filled with much later basalt lava flows (such as those at Craters of the Moon) but these are only a few thousand years old (CotM could erupt picturesque Hawaii-style lava any day!) and their exact relationship with the Yellowstone hot spot isn’t quite clear. But by mapping minor variations in the local gravity and by analyzing the pressure waves of small earthquakes, they’ve been able to see through this material and they’ve found a series of calderas roughly the same size as the current Yellowstone one.
The ash flows from these can also be found on the margins of the Snake River Plain and these can be radiometrically dated. The oldest one, which is the one right about at the ID/OR/NV border, is about 17 million years old. This is the same date as the columbia basin flood basalts, which are the very thick basalts that cover most of eastern Washington and which also erupted from basically the same spot. These are almost certainly related, though how exactly is unclear. But this is probably the date and location of the first eruption of the Yellowstone supervolcano so it never really had anything to do with anything further west, like the Cascades.
The rest of the calderas get younger as they move to the east towards present day Yellowstone. The rate and direction of these corresponds with other measurements of the rate and direction of movement of the North American plate so it has usually been claimed that the hot spot is stationary and the plate has been moving over it. (this is now the subject of a somewhat complicated controversy, but I can explain it and some of the possible origins of the hot spot if anyone’s interested).
The scary part of this is that the calderas are dated at an average of 600,000 year intervals and the last one was almost exactly 600,000 years ago. Granted, the variation from this interval is larger than the span of human civilization, but it is “due” and it’s just as likely to go off now as any other time and it’s 100% certain to go off in the next few thousand years.
As for the effects, the people who say “don’t have to worry, I never go there” are missing the point. The earlier eruptions have left tephras (the result of extremely hot debris clouds that run off the volcano) in about a 100 mile radius, so anything in that area would likely be dead, although there should be ample warning and time to evacuate this area. The extremely thick ashfall might kill some, since the practicalities of evacuating the area affected by these will be much more difficult (keep in mind this would be thousands of times the size of the 1980 Mt. St. Helens eruption). But the real killer will be the fact that volcanic gasses and debris will essentially blot out the sun causing extreme global cooling for a few years. This, along with world-wide ashfall of varying thickness, will cause several years of failed crops and it is likely that a very large portion of the Earth’s population will die. The effects will last for many years so it’s not a matter of just stockpiling food and who knows what the societal effects of it will be. I don’t think there’s any way to prepare for that, so just hope it doesn’t happen.
To answer the question of what it looked like before the present activity, before the hot spot, it would have been like any of the other surrounding country. Immediately after the eruption, there would have been a massive pile of tephra, but this material erodes easily and so it would have worn down pretty quickly and other than occasionally being enveloped in glaciers during the various ice-ages it would have been pretty similar to how we see it at any point from 600,000 years ago to the present.
(I can also give you a long boring post about why the forces that have caused the Grand Canyon to uplift are different if you want)