I assume this is your first sheep hunt and that's all it takes to get you hooked. After the hunt you'll start dreaming of your next and trying to figure a way to pay for your new addiction.
In my opinion you need top quality gear and no less.
1.Boots-well broken in and water-proof with good ankle support. Make sure they fit properly, boots can make or break a sheep hunt. A good boot is the Lowa sheep hunters or something similar. High quality socks are also equally important ; no cotton here. While on foot wear, before my AK Dall hunt I purchased a pair of Sourdough slippers from Bob Hodson of Barney's Sport Chalet in Anchorage,AK. These are actually extremely light weight hip waders easy to pack and perfect for creek/river crossing.
2.Backpack-make sure you have one that fits you perfectly and will carry the items you will need to pack. A good idea is to take the pack you intend to carry on your sheep hunt and put say a sack of dog food in it and take it on say a 8-10 mile hike. Its better to discover any problems at home, rather than on your hunt. You can do this in conjunction with your conditioning program. It won't hurt to keep increasing the weight in your pack as your conditioning program progresses.
3.Rainwear-buy the best you can find. Most likely you will see rain at some point during your hunt. Top quality and packable is what to look for in rainwear.
4. Optics-a good pair of bino's 10x50 will work fine. I actually took my Minox 10x58's which my guide said made him tired, but I can't say they ever bothered me. They are attached to the shoulder type bino straps which are very comfortable. I actually ended up standing my bino's on end to use for a rifle rest when I shot my ram. The only thing I didn't take, that I wish I had on my Dall hunt was my light weight Nikon 16x47 spotting scope, but you have to draw a line somewhere on the amount of gear you carry.
5. Rifle-pretty simple here really. Sheep are not tough animals to kill. Any good accurate rifle that will take a deer will work fine on sheep. Probably more important here is knowing how to compensate for uphill/downhill shots.
6.Conditioning-there is no such thing as being in too-good-shape for sheep hunting. Run,hike with loaded pack,weight train, cardio machines such as stair steppers and the like will all help get you ready. I felt that I was 100% ready when I went on my Dall hunt, after day two I realized I should have been 110% ready.
7.First-Aid Kit- a good first-aid kit is a must you should also carry plenty of moleskin for blisters or to prevent blisters. The toughest part of my sheep hunt wasn't actually climbing the mountains. But the descent and the side hilling is rough on the feet, ankles and knees. Not to mention all of the ankle twisting rocks your trying to navigate while coming down the mountain.
8.Be Mentally tough-this might should have been #1 instead of #8. Try to stay as positive as possible. Sheep hunting is tough sometimes-- the weather is miserable, you might work on a stalk all day long on a ram only to have him disappear into thin air or you may go for days without seeing a legal ram while climbing every hill in sight. I made a bad step and torqued my left knee on day 3 of my hunt. I'll have to admit that I had to have a deep conversation with myself regarding what the hunt cost and how many days I busted my Butt to earn that $, I put the pain in the back of my mind and kept thinking about getting my ram and holding those beautiful horns. My plan worked.
I'm sure I probably forgot something important here, but these were just a few things that automatically came to mind. Hope you have a great hunt we will all be waiting for you to provide a full report upon your return.