Normally, below 35 weeks, the babies are started on Dalivit (some hospitals still use Abidec, but a lot have moved away, as peanut oil is the base and there seem to be more allergies out there these days) and Folic Acid once on full feeds (and off high energy feeds, like Nutriprem) and Sytron (sodium ferridate) at 4-6 weeks. Most stay on them until around six months old or until your doctor at your baby follow-up clinic decides it's no longer necessary. Most units send a discharge summary to your GP with the medicines the baby is sent home on, so you should just be able to ring up your GP for a refill prescription.
And, yes, Dalivit tastes horrid. Sytron is alright. And Folic Acid is quite tasty.