I'm going to focus on construction and buildings, assuming that you've got earth-similar atmosphere, flora, and animals somehow.
Support
Low gravity reduces the weight of anything with mass. This means that your support doesn't need to be as strong. You can make buildings a lot bigger using the same materials that we have, or build the same size buildings from weaker materials.
Materials
It's likely that your trees and other plantlife are weaker, since they don't need to support as much weight. This means that wooden structures will be pretty much the same as our wooden structures: Good for one or two floors, but not skyscrapers.
If stone is available in your world, it will be much easier to transport (large blocks could possibly be carried by hand) and any ancient castles will be larger and taller since the weight isn't as intense. Bricks will likely be made a little bigger, since they are lighter. Cement will still be needed.
Metal will be overpowered
Metal like we have today will allow for some amazing structures compared to what we have. Bridges could be really really long and skyscrapers could be much larger.
In general, all of your modern buildings will be significantly bigger, since supporting that extra weight is easy. Stuff like the Eiffel Tower will be childsplay compared to these.
Mobility
Lifts would be able to carry more mass due to the reduced weight. Stairs may be taller too, due to your human species being a little taller. This also means that ceilings will need to be pushed up a little.
Furnishings
All of your generic doors, chairs, tables, windows, and the likes will be pretty much the same. Of course, they might be slimmer since they don't need to support as much weight and bigger due to your taller people.