The Thompson Center isn’t the only slice of Chicago real estate where Google is staking new ground. The tech giant is opening its first bricks-and-mortar Google Store in the Midwest and its fifth overall next week at Oakbrook Center, offering shoppers a chance to test drive everything from new AI-enhanced Pixel phones to tablets and Fitbit trackers. It may be an opportunity for Google, still a relatively small smartphone player, to take a bite out of Apple, whose ubiquitous stores have helped secure its spot as the dominant market leader in the U.S. “We don’t see ourselves as trying to directly compete with Apple stores, ” said Mike Camacho, the Chicago-based head of stores for Google.