How to do it...

We first create a new Post Processing Profile by right-clicking within the Assets | Chapter 1 folder in the Project window and then selecting Create | Post Processing Profile. Once selected, it will allow us to rename the item. Go ahead and set the name to FilmicProfile:

If you happen to not enter the name correctly, you can rename an item from the Project tab by clicking on the name and then clicking again.

Once created, you should notice that, when selected, the Inspector window will now contain a button that says Add effect... (as you can see in the preceding image), which will allow us to augment what is normally drawn on the screen.
From the Hierarchy tab, select the Post-process Volume object again and from the Inspector tab go to the Post Process Volume component and assign the Profile property to the FilmicProflie we just created:

Notice that, once the Profile has been set, the Add effect... button shows up here as well. We can use this at either place and the changes will be saved in the file.

To get started, click on the Add effect... button and select the Unity | Grain option. By default, you'll only see the Grain option with a check, so click on the arrow to expand its contents:

By default, you'll see that everything is greyed out. In order to have it affect anything, you have to click on the checkbox on the left-hand side. You can quickly turn them all on or off by pressing the All or None buttons on the screen.

In our case, check the Intensity option and set it to 0.2. Then, check the Size property and set it to 0.3. Afterward, switch to the Game tab to see a representation of what our tweaks have done:

You will notice that the screen has become much fuzzier than before. Decrease the Intensity to 0.2, the Size to 0.3, and uncheck the Colored option.

Unlike how users typically work in Unity, due to Post Processing Profiles being filed, you can modify them while playing your game and, upon stopping the game, the values are still saved. This can be useful for tweaking values to achieve the exact look that you're after.

The next property we want to tweak is the Vignette property. Note the blackened edges around the screen. Click on Add effect... and select Unity | Vignette. Open up the properties and change the Intensity to 0.5 and the Smoothness to 0.35:

Next, select Add effect... again and, this time, select Unity | Depth of Field. Check the Depth of Field option. It may be difficult to see a change right off the bat, but change the Focus Distance to 6 and Focal Length to 80 and you should notice the grass in front of the background and the mountain in the distance are now blurred:

Now, if we go into the game itself, you should see our filmic look in action:

The final result of the filmic look

And with that, we now have a scene that looks much more like a film than what we had to begin with!