It would help to have a little more information on your priorities. If you want a good hunting rifle fast, then you should just go buy a modern hunting rifle. If you want to own an old military rifle and then take it hunting, you should buy the military rifle you want and then adjust your hunting to the capabilities of the rifle. My FIL has a sporterized 03 and I have hunted with my Garand. Here's how they compare IMHO:
Sporterized, Scoped 03: Fine hunting rifle. I can place 3 shots in 1/2" at 100 yards and I'm no champion marksman. I'm sure the rifle could put more than 3 in 1/2", but I can't. Just like hunting with any modern hunting rifle. Sporterizing reduces weight. Adding the scope, of course, is a big advantage. An original iron sight 03 would still be a fine hunting rifle, provided you can use the irons well. The bolt action is very nice for hunting.
Garand: More than capable as a hunting rifle, but IMHO, the peep sights and semi-auto action are not ideal. I've taken a buck with the Garand, but it was not easy. The first time I took the Garand hunting, I missed an opportunity at a doe because I pulled the trigger on an empty chamber. You're supposed to let the bolt slam when you load a Garand, but I didn't want to make too much noise after climbing into the tree stand, so I controlled the bolt and it rode over the top round in the magazine. Also, it was raining that day and I had to keep blowing water out of the rear peep. Slamming the bolt and blowing water out of the peep both make noise I prefer not to make when hunting.
Two years later I took the Garand hunting again. This time a buck approached my stand just after legal light. It was dark in the forest and everything - the buck, the trees, the leaf-littered ground - was the same brown/gray. I couldn't find the buck through the peep at first. I had to keep raising my head from the stock to find the buck. Eventually I figured I was on the vitals and fired. I paced the shot after the buck ran off and it was only 16 yards from the stand! I hit a few inches back of the heart and luckily I recovered the buck, but I learned my lesson. Peep sights are for good lighting conditions or when you don't care if you just wound your target. Consequently, I will only take my Garand hunting if I'm doing a mid-day hunt.