I hang drywall for a living, but have done a small amount of finishing so I know how most of the guys around here do it.
As far as hanging, if you want to tack it up there with nails around the perimiter, no big deal. That's how 98% of the hangers do it. Not that screwing is a bad idea, just that nailing it while holding it above your head is easier. In the field though, it's best (but not absolutely necessary) to screw it. Whether nailing or screwing, put three fastners in the field.
Now to the finishing. First start out with a mudded tape coat covering the seam. Flatten out with a knife. While doing that, spot your screw or nail holes in the field. If screws, you can usually spot them once. If nails, three times. Then go with a fill coat using a eight inch knife, floating the mud out a bit more. After that, put on the third and final coat, the finish coat, floating it out with a 12 inch knife. Of course, make sure to let dry between coats. If butting the drywall up to existing drywall, float out the mud with 12 inch knife till it is somewhat uniform to the eye.
Finally, sand with a drywall screen, and a sanding sponge to smooth it out. But make sure not to scuff the paper.
Of course, if there's texture on the rest of the ceiling, try and match it up.
Hope this was some help. If you have any questions, email me.