We like to take friends or family interested in bears to the NE side of Yellowstone where you can watch grizzlies for hours every day. If you have an extra day or two it’s pretty entertaining. Like others have said, they may be in timber, or out in the open, and literally disappear when laying down in even the smallest depression or knee high brush or blown down timber.
There’s a rhythm to many things in nature, just like watching elk or deer for long periods shows off their differences in how and where they move. The more you observe bears being bears it reduces unnecessary fears and gives you a heads up for situations where you might bump into one. When I see one crossing through the timber, or bedded down, I imagine how I’d be hunting that area and what could be done to minimize run ins. The biggest take away for me has been how hard they are to see when bedded down or on the other side of brushy trees. For most of my life I’ve scanned for bears on all fours, when I should have also been looking just as carefully for small parts of bedded down bears much closer.
As an example I was elk hunting an area thick with bears, so when a bugle came out of a strip of timber on the valley floor with rather lush tall grassy patches, rather than work my way through what is also a comfortable spot for bears to take a snooze, I paralleled the area on the finger of trees next to it that was a side slope full of rocks and much less likely to have a bear. A little extra work, but I was able to cover the same area. Other times while walking I’m likely to error to slightly higher terrain where I can glass through timber looking as much for bedded bears as elk, before working through it. I’ve also had a bad feeling about a brushy/grassy bench - I couldn’t tell you exactly what made me nervous then or now, but it felt bearish (beary?) more than elkish, so I went well around it. Over the years I’ve come across a number of bear beds in an open patch of low vegetation with maybe a single little tree and old dead log somewhere out in the small meadow. I don’t know if the old downed log makes them feel somewhat cozy, or if they even bed there more than other places, but it’s easy to pay a little extra attention. Many beds with packed down vegetation that were seen in my younger days were assumed to be elk or deer and not given much thought, but now I enjoy looking for turds and some actually belong to bears.
Have fun and hopefully you get a chance to watch a bear at distance without issues. As others have said, bears out for a Sunday drive or vacation often travel through areas not thought of as bear territory, so it’s good to be aware of your surroundings and keep a clean camp.
I also started measuring bear tracks with a small tape to be able to tell if tracks have been made by one bear or many just out of curiosity. Once I ran across a game trail that was a super highway between areas for black bears and there were 7 different bears that used it in a two week period.