If I remember correctly, the game plays a sound when there's opportunity fire for the other player to take, so you can call him to fire.
And after you move, you end your turn, there's a screen asking the other player to "press fire to continue" or something like that, and then the game shows the other player your movement he should be able to see because it was "in range".
Laser Squad level structure is a lot less open than X-Com, most of the battles are in small rooms conected by thin corridors, so most of the time you really can't see the enemy units.
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