How much jail time am I looking at for my first misdemeanor domestic violence charge?

Is there a bond set? We usually do not sentence to jail on a first domestic violence battery, but you gave no facts whatsoever. So, I cannot say. No, you do not automatically sit in jail for 30 days. You need to get an attorney to represent you in the case.

No, you do not automatically serve a jail sentence. Any resolution of the case would require your consent, and there is not an "automatic" sentence you would receive in such cases. Most attorneys practicing Criminal Defense provide free initial consultations. Because it is your first criminal charge (according to your question), you would benefit greatly from making an appointment with some attorneys in your area who can advise you regarding your specific circumstances and what to expect going forward.