Because you only have 6 months of experience, I'd stick it out for at least a full year off of orientation. If you quit right off orientation, you will likely burn bridges with your manager. New grads are very expensive to train, and managers don't like investing all of that money just to have you leave. I left my first nursing job right at the one year mark, and when I gave my notice, my manager said she was "very disappointed in me" for leaving so soon after being trained; consequently, I was nervous to ever put her down as a reference. Some jobs will require that you put your current or most recent manager down as a reference. If you do stick it out for the full year, it may be your turn to move onto day shift by then.
You can try applying to day shift positions. However, unless you're looking at specialties that hire primarily to days (OR, IR, PACU, outpatient), you'll probably run into the same issue where you have to start out doing nights and transition to days.
In general, great units have lower turnover, and therefore building seniority takes longer. If you find an inpatient unit where you can apply directly to a day shift position, I'd be cautious moving forward. Part of the reason day positions are open could be that it's a terrible unit with high turnover, and they're looking for people to fill positions on every shift; that's not necessarily the case, but it is a possibility. I'd personally rather work a shift I don't like on a unit I love than a shift I love on a unit I hate. (I get the struggle; NICU has extremely low turnover, and on the units I've worked the wait for dayshift was 3-6 years).
I'd also approach rotating schedules with caution. Some people like them, but others have a much harder time with them than straight nights. A lot of units will put 'rotating' in the job description, but it will actually mean that you train to nights and days and then work straight nights until your seniority is high enough to move to days. If you look at apply for rotating jobs, I'd ask the manager about exactly what that means during your interview.
If you do decide to stick it out, there are a ton of forums on AN about surviving night shift. I'd also think about how you schedule yourself, and anticipating a day after you work to switch back to a normal schedule and recuperate.