There are lots of things to do whilst in Edinburgh such as visit the Edinburgh Dungeons, Edinburgh Castle, Dynamic Earth, Edinburgh Zoo and the Parliament. These all cost money to get into however you can have a very interesting and educational time in the museums which are free.
You can also enjoy a walk around this old historical city and enjoy the sites or visit the old cemetary. During the World famous Edinburgh festival there are lots of free to see street entertainers performing throughout the day.