What to do now?

[Hestzhyen]

Getting a class to 70 means you can access the end-game content. Do the "Extreme" trials for Susano'o and Lakshimi (and Shinryu if you meet the ilvl requirement). You can also do the Savage end-game raids, O1-4S, which give the best gear you can obtain. You can start on that with the i310 gear, or a mix of i310 and 320. (It's recommended to meld VIT materia into your accessories if you don't have any 330 pieces.) You can also do the 24-man raid "Return to Ivalice" that was introduced this patch too for i330 gear and fun fights as a large group. Plus there are three extra dungeons just for level 70- Kugane Castle, Temple of the Fist, and the new Drowned City of Skalla. The end game is mostly focused around getting the best gear you can for you main job and then filling out other jobs as you want. If you only care about one job then it's fine to focus on that. The patch that just launched today, 4.1, is a catch-up patch that will make it easier for you to get good gear that lets you have an easier time doing end-game content.

You can also level alternate classes that you might be interested in. Since you're a Scholar main you could try out the other healers- Conjurer (CNJ) starts at level 1 and can turn into White Mage at level 30 (the quintessential healer; simple to learn and master with a lot of raw power), and Astrologian (AST) starts at level 30; it has a lot of flexibility and party support power. You can try out anything you want, really, which is one of the best parts of this game. Check out crafting and gathering jobs too- some players find real enjoyment in them since they have complicated systems and nuances just like the combat systems do.