Bearded dragons are alert critters. They enjoy watching what is going on around them. On nice sunny days taking them outside is always good. Nothing beats natural unfiltered sunlight. If you do take her out, make sure she has an option to go into shed or somewhere cooler. Don't put her in a glass tank outside though, as glass tanks heat up fast in direct sunlight. A screen cage or rubbermaid container can be used, to ensure they can't escape. A lizard leash is good to but again, make sure they have access to a cooler area if they feel too hot.
When you have them outside, never leave them unattended for any amount of time. It doesn't take much to spook a bearded dragon and cause it to run off somewhere. Also, predatory birds or scavenger birds may decide to make a snack out of your dragon. Dogs and cats can do so as well, if they are left out to roam freely.
For entertainment in the cage, you could introduce a new climbing log, rock, bricks etc, for your dragon to investigate. Any small addition will prompt them to investigate. A small edible plant will also be a treat for them. They can eat it or just trample it to death for the day as well.
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