Welcome to site the Calico. A Rem.700 in 308 is fine for anything you'll encounter in NA. You started in the right place for advice. Take your hunters safety course.
If some one's willing to take you out and show you the ropes that's great,best way to get stated. You can read all kinds of stuff on the internet,hunting mags ect....there's no substitute for hands on experience. Good luck and welcome to hunting.