Welcome aboard!
To start off with, if you only started using Daz Studio yesterday, this is a very good first result. As with any other tool, there's a lot to learn, and "practice makes perfect," so don't be discouraged.
You weren't specific as to which areas of the picture you're unhappy with, so I'll just spout some random advice.
Daz Studio has a number of settings related to rendering quality. Basically, if iRay had it's way, it'd keep fiddling with pixels until the cows come home. So, you'll want to find the Rendering tab (Windows > Panes > Render Settings) and look at the Progressive Render selection.
Assuming you have "Rendering Quality Enable" set to "On", the render will stop when any of the following conditions occur:
- The maximum number of iterations (samples) have been run. This defaults to 5000.
- The maximum rendering time has elapsed. This is in seconds, and defaults to 2 hours (7200)
- A certain percentage of pixels are "converged" from iRay's point of view. (Rendering Converted Ratio - defaults to 95%). Basically, "converged" means that, after a bunch of iterations, iRay seems to think that it's found the final value of the pixel.
So, the first thing you may want to consider is fiddling with these numbers to allow the render to go longer. Of course, that increases rendering time.
The second thing that some people fiddle with (I don't, but...) is the Filtering tab.
You can decrease the setting on the Pixel Filter Radius to 1.1 or 1.2, or try the Mitchell Filter - some people think that it gives them sharper images.
But, probably the most important thing is to pay attention to lighting. iRay struggles on areas that aren't well-lit. So, "shadowy areas" are going to tend to have "fireflies" - random dots that aren't the same color as the adjacent pixels, and are going to be slow to converge, which can make them look out of focus.
Based on the foreground brightness, it looks to me like you have the camera headlamp on (which is the default if you don't have any spotlights in the scene) and then you have some emissive surfaces in the upper right (the lamps). That isn't a lot of lighting for a scene. You're probably going to get some better results if you put a few spotlights in (search the web for "Three-Point Lighting") and turn off the headlamp. Among other things, the headlamp is almost certainly what's bleaching out the white stockings. Maybe two lights slightly above and on either side of the camera pointing at your figure (set them to "rectangle," not to "point" or you'll get weird shadows) and then another wide-angle spotlight above everything to provide overall illumination to the room. Be aware that the default luminance for Daz spotlights is ridiculously low - 1500 is basically a dim candle. So, you're going to have to crank up that value a lot, or the spotlights won't seem to be doing anything. (I frequently have spotlights in the 20,000 - 100,000 range, depending on what they're illuminating.)
Given all that, if you could point out the areas of the render that concern you, it'd be easier to give more specific advice.