There's one way of checking if the application you're using for uploading may be limiting your upload speeds, For example with DropBox, In Settings >> Network, There's an option to limit bandwidth, By default this is set to Limit Automatically, You can set it to "Don't Limit" However, I don't see that helping much unless you're not using an ADSL Line.
With ADSL, Sadly Upload speeds will always be minimal, (Max I've seen upload speed on an ADSL Line was 2 Mbps Up, (20Mbps Account)
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I see you said you're using Google Drive (and not dropbox). Not sure how the settings look there, But I do recommend poking around in the settings, and see where that gets you.