Firstly you need to be sure whether it's a tenancy-in-common or a joint tenancy. If it's a tenancy in common your share will form part of your estate on death. If it's a joint tenancy your share will automatically pass to your girlfriend on your death.
If you transfer part of your share now it will be deemed a disposal for capital gains tax purposes. The gain would be calculated using the market value of the share being transfered. Your girlfriend could also be liable to Capital Acquisitions Tax (gift tax).
Transfers of assets between spouses are exempt from capital gains tax and capital acquisitions tax, so getting married might be a worthwhile from a tax planning perspective. (Who said romance is dead!)