There is nothing special about sequencing shRNA plasmids, its done like any other plasmid. You need a primer which sits before (in case you sequence forward) or after (if you sequence reverse) your region of interest, with some distance to it.

Thanks Christian. I just was concerned if it would make hairpin or some secondary structures since there is a repetitive sequence

It shouldn't be a problem as long as its double-stranded DNA like the vector.