This is a Soler Sonata. I haven`t heard of this composer until I played this piece. Padre Antonio Soler lived from 1729 until 1783, so he composed in a pre-classical style. His sonatas (this sonata at least), are one movement, like the Scarlatti sonatas.
Anyways, this recording is not very good (many mistakes) but please listen and critique. I just wanted to do something different from the regular romantic composers.