Pretty much everyone on the ship would know about them dating—it's hard to keep a secret on a starship. So, Beverly wouldn't feel the need to sneak around or anything when going to Jean-Luc's quarters – not that she's ever ashamed of her love life. If they were having dinner at Beverly's quarters, Jean-Luc might feel a bit awkward at first going there with flowers and wine, but after them dating for a while he would grow accustomed to it.
Jean-Luc would fumble over his words when complimenting her (he's not the best at the mushy stuff), but he would always find her so stunning and he'd do his best to tell her that. Even after they were together for a while, he would still not know exactly how to convey how much he adored her with his words alone.
They'd usually eat in Jean-Luc's quarters and he'd always program some delicious recipe into the replicator for their meal. They'd love to try new recipes and would often ask their friends for suggestions (not Worf, though. They don't want targ or gagh)
They would talk and laugh and enjoy each other's company as they ate. They'd tell each other about their days and would sometimes tell stories from their past (some of which had already been told, but of course neither of them would mind). Beverly wouldn't be afraid to confide in Jean-Luc about anything that was bothering her, and Jean-Luc would always give her sound advice, even if it was tough-love. When it came to Jean-Luc opening up about his troubles, it would always take some coaxing from Beverly before he would admit to what was wrong. But he knew she would never judge him and would always be supportive and give advice if he needed it or would just listen patiently as he vented.
After their plates were empty and the wine is gone, they would put on some music and slow dance in the living room area. Jean-Luc would usually hold Beverly so delicately, as if she were a rose whose petals were threatening to fall. He wouldn't want to ever assume their night was going in any direction, so he would be cautious when touching her in case she wasn't in the mood for anything more than dancing. He knew that if she wanted more, she would show him.
Both of them are very passionate lovers. They'd love to take their time and just lose themselves in one another. Jean-Luc is very dominant on the bridge, but in the bedroom, he would be a bit more submissive, loving the feeling of just letting go and allowing Beverly to take control. They'd switch every now and then, but I can see Beverly being dominant most of the time.
While he would also want to feel satisfied, Jean-Luc's main priority would be making sure Beverly was enjoying herself. He'd constantly ask her how she was feeling and would ask for permission before doing pretty much anything.
If neither of them were in the mood for sex, they'd relax by reading together or by just talking some more. Depending on what their schedule was like for the next day, they wouldn't always spend the night in the other's quarters. But, if they were spending the whole night together, they would snuggle up together in bed and just lay in each other's arms for a while either talking occasionally or enjoying each other's company in silence. After a while, they'd fall asleep holding each other; those were the nights that both of them got the best sleep.

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Star Trek Imagines (Character x Character)
FanfictionOne-shots and scenarios for different Star Trek couples (canon or not). I accept requests, but please check my bio on my account to see whether I'm taking more at a given time. Information about requests can be found in the first section of this. I...