Red Robin Gourmet Burgers are the main thing here.  While the menu focuses primarily on burgers, they've also got chicken sandwiches, salads, and other entrees to keep you interested.  Also, another little quirk is that many Red Robin locations also now offer pizza through their partnership with Donatos Pizza.  Burgers and pizza, you can't go wrong with that!  Many fans Red Robin has the best burgers in town at their casual dining restaurant chain price level.  And yes, they have veggie burger options.
Red Robin also offers a variety of sides, including their classic thick cut french fries and sweet potato fries.  In fact, you get Bottomless Steak Fries with most entree purchases - all the fries you can eat!  There's a full array of desserts available, plus alcoholic and non-alcoholic beverages.  Their Bottomless Beverages rule gives you unlimited refills on most of the non-alcholic options.  Usually, there’s a limited time special on the menu worth trying out, like a Cod Sandwich or Cobb Salad.  And, while they may seem to go together, you normally won’t be able to find a hot dog on the menu.
For the full Red Robin menu, visit them online here.  You can place online orders here, too.  If it's your first time, try their delicious burgers and limitless steak fries!