Shang Dynasty palace at Erlitou
In the cities, people lived in rows of rectangular houses laid out in rows, built of wood and rammed earth. In the center of the city, there was a big palace or temple (we're not sure which) on a high earth platform. One building at An-yang was a big hall with pillars all the way around it, about the size of a modern basketball court (though that's not what they used it for!).
Reconstruction of the Shang palace or temple at Panlongcheng
There was another, similar building at Panlongcheng. Both buildings probably had thatched roofs. You might compare this building to early Greek temples from around 800 BC, which also have wooden columns all the way around them and thatched, slanted roofs.
Bibliography and further reading about Shang Dynasty architecture: