I agree with natman. The best way to learn to shoot is with a 22LR, or a pellet gun. Shooting sports are just like any other sports. You are not going to be a star NFL football player because you have the best shoes, pads, helmet, and football. Same with shooting. You may purchase the best rifle capable of shooting off a fly's wing at 1000 yards, but if you have never shot before you will not be able to hit a 10 foot target at that distance. Also, be aware that if you have little to no shooting experience you can actually harm your technique by starting out with a caliber that is too powerful. The recoil will cause you to develop a flinch and you will not be able to focus on sight picture, breathing control, trigger squeeze, etc. Once learned, it is hard to unlearn flinching while shooting. If you learn on a low recoil caliber you can work on the fundamentals and learn to shoot without flinching. Plus, to get really good and be able to actually hit something at 1000 yards you will need to practice with thousands of rounds, something that is cost prohibitive with any caliber other than 22LR for most people.
If you are dead-set on a Remington 700, may I recommend the SPS Varmint in 223. 223 is a military round that is capable of shooting long distances. The recoil on the 223 is quite low and the 223 is one of the most affordable centerfire rounds. Plus the rifle has the black tactical look you seem to be looking for as well as the varmint bull barrel which is the same that a lot of the tactical rifles use (not quite the same grade but the same style). It can also be purchased for under $400 at wally world. Pair it with a good scope (say...Leupold) and you will be set. Plus, its a 700 so it has a virtually unlimited supply of upgrades as your skills improve (stock, trigger, barrel, etc.) Good luck and welcome to the sport.