This search got the right result. I accessed the search box by clicking on the Ubuntu logo.
Searching for the same application as above. I accessed the search box by clicking on the Applications icon on the Launcher.
Searching for an application when the Documents tab is active, will produce nothing. You will be given the option to search the Web for the search string. So Unity can search locally as well as on the Web.
Final Thoughts: Unity is a so-so attempt at designing a small screen-optimized desktop interface, but of the three I have reviewed so far, it ranks last in almost every aspect. The logic behind it is flawed. It would require a near-complete recoding before it can begin to rival the KDE Plasma Desktop and Linpus Linux Lite Simple Mode in user experience, effective use of desktop real estate, and coolness factor. Coolness is, of course, in the eyes of the beholder, but there is very little about Unity that is as visually appealing as the KDE Plasma Desktop and Simple Mode.
Screenshots: Just two more screenshots from UNE.
Some of the applications installed by default.
Some of the system utilities on UNE