Yes, you will definitely need an RS232 transceiver. MAX3232 for example, or a TRS3253 (nice modern package). Smaller types available if you don't need the full set of signals.
I would advise using a newer chip than the FT232 - the FT231X is cheaper, for example. Personally I jumped ship to Silabs - CP2102, CP2104, the new CP2102N (cannot send breaks!).