After you meet Staelwyrn in Summerford Farms, he will help make sure you're geared up for work.
This quest is only available if you started the game in Limsa Lominsa, you have completed the quest On to Summerford, and have reached level 5.
Starting the Quest
Talk to Staelwyrn in Middle La Noscea to start the quest.
Staelwyrn won't let you proceed until you have equipped your head, body, hands, legs, and feet with gear of item level 5 or above. Most of your starting gear is already item level 5, but you may need to get a new hat and weapon. You can get a new hat and weapon for free by doing your level 5 job quest. Otherwise, there is a Merchant & Mender nearby. She is labeled as "Repairs" on the map. You can either jump over the fence across from Staelwyrn (if you take damage, you'll heal up quickly; but if you fall from a height while an enemy is attacking you, you may die, so keep that in mind), or you can go down the slope to reach the merchant.
Talk to the Merchant & Mender. You can use the Purchase Weapons option and the Purchase Battle Gear option to see the available gear. When browsing the goods, put the cursor on an item to see its details. The Item Level of each piece of gear is listed below the Defense and Magic Defense.
If you don't have enough gil, you can select items in your inventory to sell while talking to any vendor, and you can do nearby sidequests and FATEs for more gil.
When you have equipped yourself with gear of the required item level, the check mark over Staelwyrn's head will turn green. Go back to the top of the hill and talk to him to complete the quest.
Next Main Scenario Quest
After completing the quest, you will need to be at least level 5 to proceed to the next one. Once you are level 5 or higher, you can talk to Staelwyrn to accept the next quest: Lurkers in the Grotto.