Yes, she can come in on a tourist visa and you can get married afterwards. It may be easier to get married back home though as the process would most likely be a lot clearer than it is in the UAE. In order to sponsor her, you would need to attest your marriage certificate as well. If it was up to me, I would get the marriage sorted before coming over as the paperwork can drag on here, which would mean that she would have to do a visa run (if her visa were to run out before you could get the application process started) - not particularly fun!
As your wife, she can work. On a visit visa, she cannot. Whilst a lot of employers prefer to employ degree holders, it does not mean that every job requires a degree. Al Ain is admittedly smaller and a lot quieter so there would be fewer jobs available in contrast to Dubai or Abu Dhabi. That said, I'm sure that if she is determined to work, then she will find something. She could even commute to Abu Dhabi if she feels up to this, where there are a lot more jobs.
If she knows what kind of job she would like to do, there is no harm is starting her research before you both move out here.
Good luck.
