The Millennium Hotel Glasgow, a looming Victorian building with stone faade, overlooks George Square in Glasgow, Scotland. The Modern Art Gallery on Queen Street is within 500 metres. Hotel Features. A relaxed atmosphere permeates Georgics Wine Bar, which carries an extensive wine collection and Mediterranean style cuisine. Loch Fyne seafood is served at The Brasserie on George Square, and is open for breakfast, lunch and dinner. Cocktails and conversation swirl amidst the sophisticated Millennium Lounge, which overlooks George Square. Business facilities include dial up Internet access and meeting space for up to 40 guests.