Singapore is a hierarchic society. However, my group was using a more Swedish approach, meaning we are more or less equal. I had a main supervisor but helped and got help from fellow group members.
As I have no prior laboratory experiences, I cannot compare KI to NTU. But you are expected to work more than 8 hours, which is probably not the case in Sweden. My group did not expect me to work independently in the beginning and I got plenty of help. But I think they expected me to have a lot more knowledge about structural biology, biochemical assays and how to set up experiments. When I compared myself to fellow NTU students with similar background as me, I came to realise that Sweden and KI approaches things differently comparing to Singapore and NTU. My fellow students in the group were perhaps more knowledgeable than me, but I as a Swedish student had other qualities, e.g. critical thinking. Knowledge is something you can acquire, and there will be times when you will feel insufficient but do the best you can.
Singapore and Sweden have different ways of looking at life, studies and free time. Singaporeans are disciplined and take their jobs very seriously. Many whom I met put their careers ahead of everything else, and working with them was a privilege. When they know something, they know it very, very well and as a student, such environment is both stimulating and challenging. It motivates you to work even harder.
A project work takes a lot of time, and being in a foreign country takes even more energy. You will probably be fully acclimatised by the time for your departure so my best tip is to plan your project and your stay. You will probably want to do non school-related activities in the weekend so make sure to work well Mondays to Fridays. Start writing immediately, as it is always easier to erase things in the last minute than to add a lot of new information. It can be good to do some reading before arriving, e.g. find articles that your group has published or ask your professor which articles he/she recommends.
By the end of your stay, you will most likely have a small presentation for your group. A tip is to do the best you can of it in order to improve it for the "real" presentation you will have at KI.