Apple - How do I make Terminal.app's scrollbars disappear in Lion?
I assume you're not using a trackpad, and/or your Show scroll bars preference in System Preferences > General is set to either Automatically based on input device or Always (otherwise, you shouldn't be seeing persistent scrollbars).
Try changing this setting for Terminal only:
defaults write com.apple.Terminal AppleShowScrollBars -string WhenScrolling
Then close Terminal and reopen it for the change to take effect.
System Preferences > General > Show scroll bars > When scrolling