Blocking Question

I am knitting a simple K6 P6 repeat pattern for fingerless gloves out of Hollywood Knits. Each glove is knit in 2 pieces flat then seamed together. The stockinette is curling up on itself in the rows, so I would like to block the gloves to help fix that a little. My question is, should I block the 2 pieces individually before seaming them together, or finish the glove first and then block the entire thing? Thanks for any suggestions. I can post pics if anyone needs. -Ve

The curling will be handled by the seaming, so I don’t think I’d do anything just yet.