Rent: around 150 USD/month, for a rented single bedroom (moderate house, not apartment) near CBD area. Included air con and bathroom inside, not included electricity, gas and water expenses.

Utilities: roughly another 100 USD/month combined for electricity, gas and water.

Transportation: Gasoline cost around 100-150 USD/month (National Gas company, not Shell) for a city car.

Food: depends on what kind of place you are eating out. There are always sidewalk stalls offering local food with cheaper price but poorer sanitary and hygiene.
For these stalls, it cost around 1-2 USD/meal incl beverage.
Moderate Restaurants and fast food (like McD) cost around 5 USD/meal, incl beverage.

Recreation: movies cost around 3-5 USD during weekend.
There's not much recreation around Jakarta, except for numerous malls, movies and cafe/lounges/clubs, which price varies from place to place.