On the right side of the History of Magic classroom a door leads you out into a small mossy and overgrown courtyard. In its center you can find what looks to be a fountain if you can see through all the hanging vines and wild flowers in varying colours. Around the fountain there were benches once but they are covered in green moss now and probably hard to find. If you do wish to sit down here I'd be on the lookout for small critters and bugs. The ground is covered in a mixture of moss and grass which is pretty nice to walk on with bare feet.
The courtyard is a mostly quiet place that is perfect if you need a thinking place or somewhere to work out the ending to your homework essay. The Grey Lady likes this courtyard and hopes the students will do too. What she will not like though is if this were to turn into a new snog your girlfriend spot so if you don't want to anger a very old ghost then behave!