I want to fight a dragon, regardless of whether I win or lose, I just wanna do it to have fun! So where can I find some dragons?
Just continue on the main quest. Your first dragon comes just after you reach Whiterun and complete the Bleak Falls Barrow quest by bringing Farengar the Dragonstone. You'll speak to Jarl Balgruuf at Dragonsreach and then embark on a quest ("Dragon Rising") with his right hand lady to kick some dragon ass. It's actually pretty low level too so you should be able to handle it. You'll also receive your first shout.