To see a full list of activities offered at The Cape (snorkeling, scuba diving, surfing, paddle boarding, whale watching, fitness classes, etc,) please visit the following page on their website: https://www.hyatt.com/thompson-hotels/cslth-the-cape/events-and-attractions
You can also email their concierge at thecapeconcierge@thompsonhotels.com
There are several restaurants and bars at The Cape. For a full list, see the following page on their website: https://www.hyatt.com/thompson-hotels/cslth-the-cape/dining
Sunset Monalisa is a great restaurant next to The Cape with an even greater view. It is about a 10 minute walk from the hotel, but you could also uber. If you would like to make a reservation there (recommended to do this a couple weeks in advance), here is their website: https://sunsetmonalisa.com/
Esperanza is another resort just down the road from The Cape where you can have a drink at their bar outside and enjoy the incredible view.