Hi qwerty12,
Thanks for the tip! I found the solution in connectnow-home-widget.c and modifying it for my code it now looks like this:

ConIcIap* iap = con_ic_connection_get_iap(connection, iap_id);
const gchar *iap_name = con_ic_iap_get_name(iap);

iap_name now contains the string with the name of the current SSID (although when using 3G it will shows the name of your provider).

Thanks.