The description of the Gift of the Metallic Dragon feat provided in the Fizban's Treasury of Dragons sourcebook states, in part (my emphasis):
Draconic Healing. You learn the cure wounds spell. You can cast this spell without expending a spell slot. Once you cast this spell in this way, you can’t do so again until you finish a long rest. You can also cast this spell using spell slots you have. [...]
As a Cleric with this feat, does the last sentence mean I don't need to prepare cure wounds for my spell list, effectively granting me an additional prepared spell?