Useful links
These pertain more to the full Quantum GIS application than NIWA Quantum Map. By the time you are ready to ask questions about how to do more, it I likely that you are ready to upgrade to the full Quantum GIS application. The websites and links below provide information on how to do more with QGIS.
The main QGIS website, with many useful links and much more information. http://www.qgis.org
See and download the full QGIS documentation, available in several languages. http://www.qgis.org/en/documentation/manuals.html
Harvard University's online series of Quantum GIS tutorials http://maps.cga.harvard.edu/qgis/
The interactive, online QGIS manual. http://docs.qgis.org/user_guide/html/en/
"Beginning QGIS", a beginners guide to using Open Streetmap data with QGIS. http://www.learnosm.org/files/beginning-qgis/Beginning_QGIS_en_v1.pdf
QGIS wiki Users corner. http://www.learnosm.org/files/beginning-qgis/Beginning_QGIS_en_v1.pdf
How do I do that in QGIS? http://hub.qgis.org/wiki/quantum-gis/How_do_I_do_that_in_QGIS
Using the LINZ data service with QGIS (and other tools). http://www.linz.govt.nz/sites/default/files/about-linz/lds/Using-LDS-se…
A range of online QGIS tutorials. http://qgis.spatialthoughts.com/