Good idea! Yes, just a month with your new wife is definitely insufficient and sure you should get her here to continue with the "enjoyment" of life. These would be your golden days and why should you allow them to pass away sacrificing them for the Riyal. Then with her being in Doha, you will be able to no doubt concentrate on your job, and on your driving.
Since Qatar has now made the process very easy for people to come here, I suggest you bring her on a return ticket allowing her to get a visa at the airport. You may be well aware by now that the visa is a for an initial period of 30 days which can be extended by another 30 days. Going for a business visa or a tourist visa may cost you much and do not look to be attractive propositions compared to the current facility of getting a visa on arrival.
Guess you may rethink your plans now and you have all my best wishes on beginning a new chapter in your life.