TQFE298 isn't a Panasonic model number. I think it's the code for the manual that spans a range of TVS in different sizes that come from the TH-PX75/80 range.
Anyway, as it stands no-one can answer your question because you forgot to say what the source device is and give its model number.
Your laptop has a HDMI port. However, it might only be set up to give picture rather than picture and sound. [You should check this either via some online resource or via a PC forum]. If it's picture & sound then just connect the HDMI cable. If the G6 only does picture via HDMI then you'll need an audio cable too. In this case it is a 3.5mm stereo jack plug on one wnd going to stereo phonos (red, white) on the other. The jack plugs in to the laptop headphone socket. The other ends to the TV Audio In next to the Component In sockets. Always use HDMI 1 for your connection in this way. It will allow sound from either the HDMI or from the Audio In sockets. HDMI 2 does not do this.
Once you have made your connections then the next thing to do is to instruct the laptop to instigate a screen switch. This means that the laptop screen goes blank and the picture appears via HDMI on to the TV. You will need to select the appropriate HDMI socket on the TV of course. The reason for doing the screen switch is two-fold. First, it reduces the processing load on the laptop. Second, many laptops can only output at one resolution at a time. The laptop screen is 1366x768 pixels resolution. The TV is 1920x1080. If driving both together then the laptop will output at 1366x768 to the TV as well. The results won't look as good as 1920x1080 direct to the TV.
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