DO NOT go get a "specialized" high dollar bike fit yet. It would be a waste of your money.
I would contact the shop you purchased the bike from (if so) or a shop in the area and ask them some basic advice or for a BASIC fitting. You need to ride some and actually develop a style, musculature, form for riding before you try to tune that fit and style for comfort and performance.
With that said, after you have been riding for a while a fit is a wonderful tool. Make sure that your fitter has TIME for you, not only during the initial consultation and fitting, but later for minor adjustments and such that will be needed. In a very basic fit you should expect nothing more than a tape measure and maybe a 'sit bone tool'. A true high end fitting is going to involve you warming up on your bike a few miles/minutes and then typically will involve you riding on a camera which will take measurements and make recommendations based on the fit model (school of thought). There are a few and in some cases you have to find the model that works well for you.
Most bike shops should have included a very basic fit with the purchase. In your case, slow down, take it easy. Give yourself a little time to break in to this new activity. Read and try minor adjustments and such, but don't go too far too fast. It can quickly turn from discomfort to injury. Go for the fit in a few months, if you still need it.