Yes, this software will work with your device, but you need a certain version that's compatible with the GZ series camcorders. Also, you need to check the release year for your device and then you can download the correct version of the software since there are many released for different series and years.
Once you get the year, visit the page below and click on the corresponding version. Note that the MediaBrowser is not a free product. In most of the cases it's delivered with the device on the CD-ROM, otherwise you'll have to buy it.