Just be open and enjoy the local culture. Locals here are generally friendly, just like when I was in NZ, most of the kiwis are friendly. Everywhere is the same, if you are nice then people will be nice to you too
To really experience the local scene, chat up locals or make friends with local colleagues / colleagues who have been in SG sometime now.
You will also 'gel in' easily with the expats community here. Then again, if you are only happy to mix with the expats then...
(1) get use to them 'coming and going'. most are here about 2 -3 years then relocate to work somewhere else
(2) mainly expats activities can be expensive.