To copy text, selecting and pressing <Enter> or <Ctrl>+C works. To paste, one should right-click window title and select Edit -> Paste (Ctrl+V and Shift+Insert are sent as a hotkeys to the Linux). Or just right-click terminal window.

Another approach is to enable "Use Ctrl+Shift+C/V as Copy/Paste" in terminal properties and just use those shortcuts, they seem to work fine in ssh.