What are some accessories you can by for a bolt action rifle for shooting and hunting ? The caliber is a .300 Win Mag Savage 111 TH XP scope package.

Good sling, scope covers, something to hold some extra rounds of ammo, small tool kit for working on it and with which to clean it, inlcudung a bore snake/string and small amount of cleaner / lube. Maybe a lens pen and glass wipes. Those would be the basics.

As far as accessories? As already mentioned not much is needed ..... a quality scope cover, a comfortable sling and maybe a cartridge case that mounts on the stock.

In my day pack I carry a pocket sized cleaning kit and a multi-purpose tool so that if need be I can clean the rifle.

The guyz already got it covered.

Maybe a bi-pod depending on the use ?

http://www.harrisbipods.com/

Ya know, I forgot that he did mention shooting, so in terms of accessories for the range, there are a few more things that would be nice to have and could be acquired a little at a time.

Range bag to carry stuff, and I'd hope you already had good eye and ear protection ... a collection of targets, even if home-made, markers and/or stickers to patch holes in targets to use them longer, containers for collecing brass, .. a small tarp for catching brass (if using a semi-auto anything, or a bolt that likes to fling brass.) ... spotting scope, even a cheap one will save you time. Someday maybe a chronograph. A good gun vise for cleaning and working on scopes, etc. A good staplegun, staples, map pins, masking tape , and enough screw tips for a screwdriver to handle all your scopes and such.