RE: New to the gun world.
As I am pretty new, let me give you a little advice I have learned...
By the way the 30-06 is by far the most universal round, good choice.
Problem, it will provide substantial kick and could lead to poor shooting habits, I am assuming that you do not reload. I would look for the lightest loads you can buy. This will keep you from bad habits such as flinching.
I personally think dry firing the rifle is fine, some might disagree... Whatever you decide, dry fire it or pick up some dummy rounds... Do this a bunch, aim it at something on the wall and try to stay steady.
Become familiar with your gun, make sure you clean the greasy stuff off of it when you first get it before you shoot it (this is called cosmolene). Always protect it with some product, I think most people would recommend Rem-Oil.
By the way don't become discouraged... It will take a lot of practice to get as good as you may want... Actually you said you will just be target shooting which you say you don't need a good gun for not hunting... In reality it is the other way around, most any rifle will be accurate enough to hunt with, very few non-modified guns are good enough to be competitive with.
All-in-all a good choice with your first gun... I personally don't care for the Remington rifles, but that is some weird quirk I have... You might want to see if there is a drop in trigger someone might recommend for the 710... It shouldn't be that expensive and will dramatically improve your gun for target purposes.
most of all... HAVE FUN!!!