Although we can be sure that Shakespeare owned rooms in the Gatehouse (and that Richard Burbage and Heminges also bought a share of the building) there is no surviving evidence of the playwright actually living in the property, and he may have let it out to tenants for several years. Yet it is clearly still of much interest as the purchased property of Shakespeare in early modern London. Furthermore, we know that in his 1616 will Shakespeare bequeathed the Gatehouse to his eldest daughter, and this allows us to learn more about the theatre industry: the will shows us that Shakespeare kept the Gatehouse but not his shares in the Globe or the Blackfriars playhouse (he did not contribute funds to the building of the second Globe theatre in 1614 after fire destroyed the first). As the theatre shares are not mentioned in the will, he must have sold them before 1616 yet kept his Gatehouse property until his death.
To view the document that proves Shakespeare's ownership of the Blackfriars Gatehouse, see the site of the Folger Shakespeare Library.