#1 says he has "going to the beach" as an experience. This means at some time in his lifetime he started to travel with the beach as his destination. It does not mean that he necessarily ever arrived there. It does not mean that he necessarily is there now. He might still be on his way to the beach, or he might not. However, with additional context it could imply such things. For example, from this conversation it can be reasonably guessed that he is at the beach right now:
Question: Where is Jack?
Answer: He's gone to the beach.
#2 says he has "being at the beach" as an experience. This means that at some time in his lifetime, he was at the beach. It gives no information about whether or not he is there right now. It just means that the beach is one of the places where he has been during his lifetime. Additional context would be needed to know if he is there now or not.