There are several tourist sites to see while you are there and many tours that will take you around. Among them is the house of William Shakespeare as a boy. His father, John Shakespeare, and mother, Mary Arden, came from affluent families. His father was a glover and alderman, and the family was well respected in the area. The grandeur of their house portrays this and is a definite stopover for you to visit, even with its tourist gift shop with cool t-shirts.
Two other places to visit are Hall's Croft and New Place. Hall's Croft was the home of William Shakespeare's daughter, Susannah, and her husband. New Place was Shakespeare's final home, the home where he retired to. All that is left today is a garden, apparently first created with flowers planted by Shakespeare's very own hands. You can enter into the garden by going through Nash's house, which is now a museum.