I agree with the other members.
Standard English is 'I'd like you to get started'. The other form, 'I'd like for you to get started' is a non-standard usage which only exists in North America.
You might possibly have worked this out from the nationality of the answerers: Bill, from Britain, says that the 'for' version is wrong, David from the US says that it's fine, while James (an Englishman who lives in the US) says that it's common in the US but never heard in the UK. Me? I'm just a language nerd. The 'for' version sounds American to me, but it doesn't sound wrong. In fact it sounds quite nice, and old-fashioned, somehow.