You can research whether a site has reviews on the G6 by using the links found in our Receiver Reviews category in our wiki (note that both here and in the wiki, anything blue is a link)
Category:Receiver Reviews - The RadioReference Wiki
Now as to the weather stations the NOAA site was mentioning - it's possible they were talking about VOLMET stations. VOLMET is a contraction of 2 French words, freely translated meaning 'flying weather'. Here is a website with lots of such listings, although how accurate it is I'm not entirely sure - I don't DX these, although there are those that do...
SW Volmet Broadcasts
Keep in mind that HF is not like scanners - it's not open 24 hours a day. In general, you want to listen above 9 mhz during the day, below that at night. This is due to the effect of solar radiation on our ionosphere. Along with that, you want to be listening for stations that are on the same daylight path as you - in other words, both you and the target station are in daylight, or are both in darkness (yes, I know that there are exceptions, but let's keep this simple). This website will get you started in understanding these conditions, and note that you will need the Flash player to view it...
Propagation Primer - Flash Movie by AE4RV
Jump down to the HF forums and feel free to ask more questions there
best regards..Mike