Just to update those who may require this information:-
1. I applied for the Government accommodation and it took them 1-2 month to process my application.
2. I had to the housing department to know that I can be allocated an accommodation.
3. I visited a couple of accommodation so far, I am quite disappointed. The flats are indeed big , 3 bedroom minimum, but they are very very very old and poorly maintained. But I guess it depends on your luck, 'network' and grade. If you are grade 1-2 then I guess you should be fine.