Hello Imerzack, welcome to the Dubai forum and thanks for the feedback

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Yes, gas means natural gas, not gasoline (usually referred to as petrol in Dubai).
Household gas available and commonly supplied in gas bottles for connection to cookers / stoves. Heating is rare in Dubai houses (I don't even own a heater of any sort for example). Sometimes piped from a central supply for the building I think. Cost is relatively low AFAIK so assume it's included in utilities figures - whatever extra is paid for gas, is going to be offset by a reduction in electricity costs.
Note that you don't usually have a choice within one apartment or villa. It will be either gas or electric cooker, not both. Depending on your rent contract, you might be able to change from one to the other but assume you will be responsible for any costs involved.