Welcome to our community! And don't worry, your English is not bad at all :)
Broadly speaking it seems to be possible for foreigners to get married in France. But there is a few things to keep in mind:
You and your girlfriend must live in France for atleast one month since the announcements of the banns. In addition there is a number of documents that you need to provide and you are highly recommended to get in touch with local authorities to find out which exactly they need. You will find the whole list following the link below.
Unfortunately I don't know in how far the refugee status of your girlfriend affects the marriage-process. I'd highly recommend you to get in contact with local authorities in France in order to find out how they handle these cases.
Concerning your question about the possibilites to enter the French labour market:
In order to work in France you will have to have a contract with an employer before you can be granted a visa. You have to submit this contract along with your application for a work visa at the French embassy or consulate in your country.
For detailled information about different types of visa and labour market access in France please check out the following link: http://www.expatica.com/fr/visas-and-permits/Moving-to-France-Guide-to-French-visas-and-permits_101096.html