In a nutshell:
Since you have Intel graphics, then you have the driver you need already.
As for other components, Ubuntu will inform you if there are missing drivers for certain components, such as your wireless devices. If you are unsure, you can run
jockey-gtk and it will run a check for you.
If you need to see the details of what you have installed, there are two options:
GUI (Graphical interface):
Install the hardinfo application:
This gives you a detailed readout of everything on your system, including driver information for your devices.
It won't tell you if there are newer drivers available, but that's not really a problem because on Linux the drivers usually come with the Kernel, so you don't really need to "upgrade" your drivers (except for certain drivers that are not included because they are proprietary).
You can run
sudo lshw to get a detailed readout of your system on the commandline:
My recommendation is that you pipe the output to a file though as it can be rather hefty. So, run:
sudo lshw > sysinfo.txt
You can then view this file at your leisure:
As izx mentioned in the comments, any device marked as UNCLAIMED has no driver.
For your touchpad, you just need to change the settings. Open
System Settings>Mouse & Touchpad, and under the "Touchpad" tab, you can set up two-finger scrolling.