You're on paper, so you're not in that bad of shape.
Like others have said, a solid rest is a must. Rolled up beach towels... whatever. Focus on your breathing; best time to take a shot is after a long deep breath, halfway exhaled (for me anyway). Don't clinch up on the rifle; 30-06 recoil isn't light, but it isn't huge either. Just make sure that it's nested in the shoulder, moderate pressure. If you see pulse moving the crosshairs relative to the target... that's too much. loosen up. Your trigger hand's grip is pretty light.. Most important part is trigger control. I recommend becoming familiar with how your trigger feels with some dry fire practice. Check that your rifle's empty. Then check that your rifle's empty. Just in case, check that your rifle's empty. Get comfortable behind the rifle and create a virtual target somewhere. Mine is on the bottom of the bathroom door at the end of my hallway.
You won't be doing any harm to the firing pin by dry firing. If there's a doubt, go track down a few snap caps (dummy rounds, plastic usually). Learn how that rifle feels, get used to it. Most importantly, don't anticipate the trigger break. Don't pull the trigger. That's anticipating it. Slowly build pressure on the pad of the index finger against the trigger. Eventually, that trigger break will surprise you a bit. Practice doing that while keeping your crosshairs on your virtual target.
Next time you go to the range; you'll have developed some memory on what feels right. Take your time shooting a three shot group, @ 100 yards. Your scopes adjustments are tuned for 100 yards, i.e. "1 click = 1/4" @ 100 yards". If your target has a 1" grid pattern (see my siggy), you'll only have to adjust once. Distance from the center of your group to the bull.
Then you'll get to burn all your time trying different ammo, seeing what that howa likes. After a bit of practice, you'll know when your rifle doesn't like what you're feeding it. Groups will go to poop.
Take your time and have fun doing it, Ruben.