The game is so far the best Final Fantasy I've seen. The best thing about the Gil problem is that you don't have to worry about grinding to be able afford some decent weapons. You only worry about grinding at the end of the game. 

Well, nothing actually _drops_ gil.  That's the first thing that you have to wrap your head around.  But ch's right, you don't need any cash for quite a ways into the game, and as long as you're good at finding all the chests, you'll get most of the base level weapons.  And enemy drops will be more than enough to cover your basic upgrading needs during the story.  I didn't miss buying upgrades all through the game.

You will start to get a lot of gil later in the game, so don't worry about it too much at the start.

I'm always running out of Phoenix Down's. It makes it a bit difficult. :)

When you get to Oerba in like.. chapter 12, make sure to fix the little robot, you will make a lot of money from that little guy.
Later in the game you can farm Gil from Adamantoises, and hope they drop platinum ignots.