They serve beer and wine. While the options don't appear on the Disney World menus, you can see them on the Wolfgang Puck website. (Click on the word "Menu" to expand that section.
The Chardonnay is pretty good , I have also had it at his restaurant in Atlantic City. Unless something has changed since our last trip all the beer is bottled, no drafts.
Actually a great question as we love the food at WPE for a cs credit but they were always notoriously stingy on drink choices prior to the alcohol change. You could only ever get hot or cold fountain beverages on qsdp and had to pay for juice oop. Interesting if you can now get a beer or wine as part of your meal.