Sorry! I don't think Google has such settings to enable HTTPS all over its services.
Alternatively you can use a extension called HTTPS everywhere.
Once you install it this extension it will try to first access the HTTPS address then fallback to HTTP one of any particular website you visit.
The local icon will appear if the website supports HTTPS totally or partially. This extension is also available for Firefox.
If you really only want Google Services (and not other websites), then you can change some settings to get exactly what you want. Sorry, this feature is not currently available for Chrome, but is available in Firefox, actually HTTPS Everywhere is currently in beta. If you use Firefox then you can try this feature.