Everything works, but only after you install the right driver.
|What doesn't work:|
Device did not show up in the network manager, nor did it automatically try to work. Wireless option was unavailable in the network applet and Network Settings.
|What was done to make it work:|
Download the file https://github.com/kozak127/rtl8723be/archive/master.zip. Unzip it and in terminal do
sudo make install
sudo modprobe rtl8723be
Note 1: Maybe checkinstall would be better than "make install" -- only now learning about that.
Note 2: Opening the folder "in terminal" via Nemo could be easier than cd /the_path_to_this_folder/rtl8723be-master.
Kernel 3.13.0-27 may already have the driver. (0-14 does not)