The higher (slower) your aperture/f-stop is the darker your image will be. However, with a slower more things will be in focus in your image.
A lot of people love a lower (faster) aperture/F-Stop because it
1. Let's in more light which is great for low light
2. Has a much shallower depth of field (what's in focus)
With a faster aperture fewer thing will be in focus which means your subject could be in focus while your background is out of focus, vice versa, plus it makes it look better and more obvious when you transition between focus points.
The faster a shutter speed your camera has, the less motion blur you will have.
This is great if you want a "saving private Ryan" look, or are shooting 60P to turn into slow motion in post. The downside is that it lets in less light because the shutter is moving faster and blocking more light.
Every digital camera will add more noise (film adds grain) the higher your gain/ISO. It's just the way they work. Some real expensive cameras like the c500 (I've heard) add noise reducing filters to the image in camera. Keep in mind these are very expensive cameras and lower priced cameras do not have these features.
It is definitely possible to record videos like that.
You can always film with as much light as you need and the DARKER THE IMAGE IN POST!

(Via color grading in Davinci, speed grade, color, etc)
A lot of people do this!
It is so much easier to film with as much light as possible and then color grade the image in post to get the colors and light perfect!
(One thing to also keep in mind is the codec your camera shoots with.)
Your camera shoot h.264 .mov files I believe.
This is a codec that is used a lot because it heavily compresses the image and gives very small file sizes. However, it tends to fall apart in post because it is heavily compressed. That said, you still can get great images and do great things in post.
Just make sure you shoot on the highest quality setting you can as that will give you more pixel information to play with in post.
Also, keep in mind the frame rate you shoot at has no effect on grain/noise. It is only how many frames you shoot per second. 24 is standard for film/movies. 30 is higher for other uses. And 60p is used a lot to get 1/2 speed slow motion by slowing the videos down in post.
Also, you might be wondering how you get shallow depth of field in daylight as you can't have a high aperture in daylight because everything will be blow out (too bright)
To achieve this you can use ND filters (whether on lens or by using matte box)
These filters simply darken the image so you can use higher apertures.
Hope this helps.