As a EU citizen, you have unlimited access to the labour market in Germany. You do not need a work permit.
If you would like to work in Germany, have acquired a state or state-recognized professional qualification abroad and may even be able to prove your professional qualification with a degree, then you should strive to have your qualifications recognized in Germany. Recognition is mandatory for some professions and voluntary for others.
The best way to get advice on the procedure is on site. You can find more information on the relevant information portal of the Federal Government: