Walk into the woods, find a big tree that won't shake when you lean on it, and just grab a seat for about 10 or 15 minutes. Watch the tree limbs and the deck for movement. If you don't see anything, quietly get up and meander about 50 yards or so and do the same thing.
If you spook a fox squirrel just sit easy for a few minutes. They're pretty dumb. They'll sit and bark at you while you put the cross hairs on their head and bag them. Sometimes they'll hit the back side off the tree. Toss a stick to the back side and they'll run right around to you.
Gray squirrels are a bit more on edge and will run like hell or hit a hidden spot in a tree and sit for a few hours.
And in the fall while they are collecting nuts; if you see one at a nut bearing tree at a distance and it skips off quick when you haven't spooked it, it may be collecting nuts. Get close to that tree and hang out for a few minutes. It may be back to get more nuts to hide for the winter.
Even if you spend a day and get absolutely nothing, it's still an amazingly relaxing morning. You see fox heading back home for the day, coons climbing into the trees for their daily naps, and deer and turkey feeding. I got to watch a hawk come down on a chipmunk once. Pretty cool. Every now and again if you get out real early, you'll get stuck at tree while a skunk waddles around in front of you for a while. Keep the gun on safety, sit back, and watch what nature does that you normally never get to see.
I'm not sure I've ever spent a morning in the woods that wasn't spectacular.