Hi Echidne. I can see from your character page this is your first class. Welcome to the game

As for levelling, at this stage you have a lot of main story missions, and also side quests you can go through. Don't worry too much about fast levelling, just enjoy the game and the story, learn the ins and outs of the games features and systems, and you'll level up as you go.

Aside from that advice, i'll offer this:
Fates are a great way to level, and will spawn randomly in the areas you are in.
Levequests are unlocked at level 10 if i remember rightly, and are another option.
Your hunting log is a great way for some early experience!

At level 15 or 16, you will be able to access your first dungeon, which will allow you to gain gear and experience too

Good luck to you, and if you need any help there are some great threads on this forum, and google will turn up some awesome info sites too.