you have purchased a fine rifle and caliber for both deer and bear. I have the same rifle. My first suggestion is to go to a decent gunsmith and get a trigger job. If your is like mine was it broke at close to 8 lbs and this is not appropriate for acurate shooting at long ranges. Have it taken down to 3.5-4 lbs. Next get a decent scope... I recommend a 4x12x50..The best you can afford. I presonally like the Bushnell 3200.
If you choose to shoot the ballistic silvertip for bear make sure to use the 180 gr as the 150 has too thin a jacket should you hit the shoulder bone. The better choice considering the .300 WSM velocity and energy is to shoot the failsafe bullets available in Winchester factory loads in a 165 gr for bears. Better to be safe then sorry. Losing an animal due to poor bullet choice just reflects a poor hunter. The ballistic silvertips in any weight will do a deer just fine....but just incase you run into a large bruin the failsafe is the way to go. I have harvested 3 bears now with my Model 70 SuperShadow.. the largest going 380 lbs and 7 deer, so I speak from practical field expierences but in the end it is just an educated opinion.