Gigolo doesn't store the password itself, rather it uses gnome-keyring to store them. Following is the quote from Gigolo's Help Document
There is no support for direct storing of passwords at all in Gigolo. Instead by using GVfs we get support for gnome-keyring for free. All you have to do is to install the gnome-keyring package (and maybe restart your session). The next time you connect to a resource which requires a password, Gigolo will ask you for it as usual and then the entered password is stored in the keyring for this connection. Currently, your password is stored forever. This will be configurable in future versions to store it only per session or to not store it at all.