There is also a restaurant, The Park Grill, which is a WCWG favorite. I proposed to my wife on the ice just under two years ago, and we've shared dinner at "our" table numerous times. Recently, we met up at the bar for appetizers. The selection is very good- try the pork nachos, tempura shrimp, or crisp calamari. We really love the Kobe beef burger- it is topped with gorgonzola cheese and comes with killer seasoned fries.
As far as the beverages go, they have a good selection. Goose Island on tap is in house, along with one of my favorites, Anchor Steam, a San Francisco based brewery. It has a rich amber color, hoppy yeasty scents, and a bit of citrus and nuttiness on the palate. The wines are all low to mid range pleasers. I moved to the Miner Family Viognier, which has fresh peach and apricot flavor, while my wife enjoyed the Babich Sauvignon Blanc from New Zealand. She really liked the ripe citrus flavor. The key to value is to get a "quartino": a 1/4 liter flask (almost 9 oz.), usually about $3 more than the glass pour (6 oz.), and a significantly better value. The bottle list is comprised of common favorites like A to Z, Elena Walch, Craggy Range, Saintsbury, Guenoc, Luna, and Penfolds. If you are looking to "bling it up", you may want to look elsewhere, as this list is more geared toward frugal satisfaction.
So make your way down to Millenium Park. Work up an appetite exploring or skating, then move to the Park Grill for good food and beverage!