A lot, actually, but they aren't very exciting dreams. Most of the time I dream about adding things to the site or having Javascript epiphanies and am sorely disappointed in the morning. Sometimes it's not coding, but finishing articles. Other times it's just a pressure during a dream that's progressing normally, like I get reminded that I should head home so I can publish something on my site for the day.
Before I created my subdomain for my characters (which isn't on Neocities, and utilizes PHP & SQL) I was having nightly dreams of how it would work and how I could code it. A reoccurring event in the dreams was me messaging the admin of a site I was on to ask how their database worked/was set up so I could copy it. I never ended up sending that admin a message, but having the same dream five nights in a row pushed me to actually make the site just to make the dreaming stop X)