1. Eat local foods
Singapore has an unique blend of cultures from the chinese, malays, indians and eurasians. So this means the food culture is awesome. Some of the local foods that you definitely need to try:chicken rice, chao kwey tiao, bak ku teh, chilli crabs/black pepper crabs, laksa etc. Just go to any local hawker centres and you can find a variety of cheap local foods that you can choose from.
You can also go to chinatown for chinese food and little indian for indian restaurants.
2, Universal studios
It is a theme park with themes like far far away, seaworld, transformers, lost egypt etc. It is great to spend an entire day there having fun. But be aware that it can get crowded with tourists.
singapore is know to be a shopping heaven with lots of malls and shops to choose from ranging from low end to high end. Go to orchard road for high end goods or hop to bugis street for some affordable ones and local food. almost 3 years ago