ULW will cover spelling and grammar.
It does include rubrics for writing which can then be applied to written narrations.
We don’t start written narrations until 1/2 way through 4th grade, or when spelling is coming along easier and more naturally as well as oral narrations. My understanding, and experience, is that written narrations are such a great way to require and learn writing, a formal program is not needed for quite some time.
It seems many start in 7th or 8th grade (some later) with a program such as Jump In or similar, that give a bit more direction for writing, but prior to that written narrations are really great for learning to write.