Sorry, that's not benzoquinone... it's the disodum salt of hydroquinone. If it were benzoquinone, it would have no charge and a double bond to each of the O's - this is charged on both O's, and there is only one bond to each.
What happens when you react hydroquinone with a strong base is the hydro acts as an acid - the H's from the OH groups leave and react with the OH- from the base... then the salt forms between the hydroquinone ion and the Na+ or K+ or whatever from the base. Simple acid-base reaction.
[edit] If you scroll a tiny bit down the page, to the very next diagram, there's a picture of benzoquinone as "oxidised Hydroquinone". Have a look, the differences become fairly obvious