When you're at a distance, nothing's better than using video chat!
For this date, choose a movie or show to watch together through streaming services (or if money is tight, you can even watch something on sites like YouTube!) while doing a live video chat on something like Skype or Discord. (Hooray for free services!)
Once you've found what you want to watch, do your best to sync up when you both press play so you can be on the same page. There are some services available now that sync up automatically.
Be sure to mention your favorite and least enjoyed parts of whatever you watched together. Starting with what you liked gives a nice, positive experience, and following that with what you disliked helps the other person to better know you. Movies and shows are a great way to open up a discussion!