Assuming you mean Core Duo and not Core 2 Duo...
The Turion (X2s) are 64-bit capable, the Core Duos are not. The Core Duos will give slightly more battery life. At the same clock speed, the Core Duo will be a little bit faster, but not noticeably in most applications.
yep, and the turions tend to have better graphics setups than the core duos(duos come with intel's integrated, turions come with ati's mobility series-some really good like th x1600 and up - and some with nvidias geforce go 6600) both which outperform core duos intel integrated.