"La Normandie," as the property originally was known, started out as a "dance club." My recollection is that it was 1959 or '60. I have the same postcard (a gift from Marius' collection), but it's on SBH, so all I'm seeing right now is the card showing up in this post . . . and I'm only getting the top half of the card.
In the image that I see, I believe the space on the right -- a room with tables -- is part of what now comprises the "salon" of the Normandie Hotel. The long wall on the left is the wall separating the salon from the kitchen. Though quite different today, I believe that there always was a kitchen behind the wall (as there was when Wendy & I bought the Normandie). The wall on the right was an exterior wall . . . separating the restaurant space from the area that today is the pool deck.
My recollection is that the card has another image of "picnic"-style tables on the ground . . . in the area adjacent to the salon, the space where the photographer was standing when the photo of dining tables was taken. At the time, the restaurant / dance club opened, with no wall or barrier, onto the adjacent property (by the time we bought it -- 2007 -- the "indoor" space had come to be separated from the outdoors by latticework panels). When dancing started late in the evening, people & tables were moved from under the covered area to the ground next door.
Owners of La Normandie eventually built four bedrooms along the side of the salon (as one enters from the street). Thereafter, the "back building" was built, with the intention that it would be a movie theatre. Alas, even then, about 1965-66 -- before codes, etc., became formalized, as they are now -- local fire authorities would not permit the intended use because the new building had insufficient exits. So, the building was converted to five bedrooms, & an "above-ground" pool was installed between the two buildings . . . in a lushly dense & tropical garden.
When I first came to the island -- 1978 -- the property had become a small, thriving hotel, with a restaurant operated in the salon (a "Tiki Bar," with thatched roof, had been added along the back wall . . . the one separating the salon from the pool & garden). As far as I recall, the restaurant operated 'til about 1983-5. For a period (in the days before widespread telephone service came to the island), it specialized in exotic varieties of couscous. At all times, it was a principal end-of-the-day gathering spot / "watering hole" for locals who would go home from La Normandie after drinks & dinner for a nap before heading out to dance at Autour du Rocher.
Today, even without a restaurant, some of the Hotel's status as a legendary local spot is maintained. If you haven't been there, watch this space . . . there are frequent occasions to gather for drinks & conversation!