Should be fine, once the weather warms up in June you could then take the end panels away to prevent "cooking" and help ventilation/polination.
Bubble wrap should let enough light through, after all a lot of people put shading on their greenhouse to prevent scorching.
When making the frame consider fixing two diagonals inside the rectangle so you can attach the bubble wrap to this as well as the edges, this will make it more secure and prevent it from ripping when windy.
Jerry