Just a casual dinner follow by coffee at cafe.
Millenia Walk, Marina Square, Suntec City.
But first, check with her, what she likes to eat. Then suggest a
place or two.
Just be yourself....
As for conversation, from hobbies to latest movies etc
Then see if can date her out for a movie etc
Good luck!!! 
x3
TS dun need to prepare for wedding spread or fine dining... Just
a simple get-to-know-each-other dinner... preferably somewhere
quiet (no Food Court)...
After dinner activities could be sitting down for coffee, or
strolling ard suntec, marina square... Movie could be something if
you both had interest in...
And for conversation topic... Since u both talk to each other
online, I'm sure u both will be able to talk in person too... It's
the same... Unless u refer "Hi, how are u. Fine. Thank you" as
online conversation >___> Just remember to find common point
of interest between u both... I'm sure there'll be something...