Dear friend
yeh it is true that Qatar govt is providing free of medical facilities. In such a case u can go to only Govt hospitals.

But i may let u know here that Some companies provide medical coverage as well depending up the company policies as well.

More ever u must be aware that living cost is very high here in Qatar perticularly the housing Rent. if u provide me clear information about ur package, i can clear u more satisfactory weather to accept the offer or not. Wish u best of luck