As you husband is a EU national you are elibale to apply for residence in Austria by submitting your passports, evidence of marriage to the EU nationa and a letter of support confirming that your husband is willing to support you.
While it is possible for non-EU citizens, like yourself, to obtain a residence pemit for Austria you should know that this will not automatically grant you the right to work in Austria. This means you will also need to apply for a work permit to take up employment.
To apply for a work permit you will need to have a job offer in place and your employer will need to prove you that you have relevant skills or expertise that the company needs and has not been able to source from with Austria and the EU.
Furthermore, its great that you are learning German as you will need to pass a proficiency test as part of the work permit application process.
Refer to the Visas for Austria and Working in Austria pages for further information.
I hope this is enough to get you started, do ask if you have anymore queries.