I've played only once, and the graphics and art are unfinished — possibly the development as well — so let me keep the overview at a fairly high level. First, here's a basic description:
In slightly more detail, to set up the game, lay out a ring of town figures at random, with two of them being removed from play each game. Whoever is farther behind in the circle around town takes the next turn, advancing to whichever town figure they want to visit. Most of them give you resources — brick, steel, or money — and you have a limit on how many resources of each type you can hold. Some figures have two random building plans at them, and if you visit one with the right resources, you can pay them, then build something. If you pay extra, you can then build something else, too!
The first building is placed anywhere in the midst of play, then each subsequent building is placed adjacent to something already built, with the buildings eventually filling in a 4x4 grid of the players' own creation. As soon as the sixteenth building is erected, the game ends and players score points for what they built. Who has contributed more to the current state of Glasgow?
A few townspeople offer special actions that go beyond collecting and spending: One lets you trade goods in your hold, another grants you a barrel that serves as a joker item as beer is apparently a universal currency in Scotland; another lets you use the next card you land on twice, and still another allows you to flush building plans from an architect's hands, which is great for both stifling the opponent or pulling the slot machine lever for what you need.
In one sense, Glasgow falls in the same bucket as Lookout's Mandala, which I raved about here, as it feels like a classic, no-frills, well-honed design. You want a twenty-minute game that will deliver something fresh (thanks to the randomization), yet familiar (thanks to its design core) each time? Then here you go! Lookout has had a solid record of developmental success for more than a decade, and you can feel that knowledge at work in Glasgow as the game flows well and you can jump into it almost immediately thanks to iconography that tells you almost everything you need to know.