New player and Lightning event

[Vestara_Khai]

Oh darn. I heard from a friend who plays this game that FATE grinding is helpful in this case?

You're a new player so your best bet is the storyline quests, when you unlock duty finder do the Daily Roulette, and queue for dungeons as you do the storyline quests. If a FATE is on your path go ahead and do it, but I'd say stick to storyline quests and Dungeons. You can also pick up local quests at the areas your Storyline quests are.