Gate of Desert Beach is one of the easier but important areas of the game. There are 2 essential quests here, and since it only takes 5 to 10 minutes to complete both of them there is no reason to skip them. You have to be level 15 in order to get the quests.
Don Guivanni - Find 1 Empty Potion Bottle and 1 Oasis Water. This is a drilling quest (in other words you have to drill for the items). Oasis Water can be found either here in Gate of Desert Beach or in Beach Field 5. This is an important quest because if you don't do it you won't be able to do many of the quests in Beach Town Paradise.
Driller Marky- Find 2 Tanning Oils. This is a drilling quest. Tanning Oils can be found either here in Gate of Desert Beach or in the next map Beach Field 7. As a reward you get a penguin for a pet. This is a good pet until you reach level 25 and can use your baby pet.
Get these two quests and finish them. You can drill up all items right here in Gate of Desert Beach in about 5 minutes.
Card Girl makes her first appearance here though it is strictly ornamental. She gives out some information but can be ignored.
Strange Fisherman - You must be at least Level 20 in order to get this quest. He gives out a story quest (i.e. you need to do it). Depending on your class you will need to find either 5 Salt or 20 ground earthworm. Salt can be dug up in Beach field 7 (the next map). Ground earthworms are dropped by Golden Moles in beach field 7 and beach field 5.
Octopus girl - she is only useful to Bunnies. If you are playing a Bunny then you will want to pick up 10 red lipstick later on.
