As with most hunts optics are extremely important as you should spend a large amount of your time glassing for animals while. Mountains give you the advantage of elevation which should be used to your advantage. The sooner you spot these animals, the better chance you have to make a sound plan and initiate your stalk. I tend to choose lightweight optics in order to keep my pack weight down. It's your choice what you want to take in but I go with a small spotter and bino combo. Optics are always difficult to decide on and they are expensive which is why some hunters choose to go with a high-power bino that allows you to leave the spotter at home in order to reduce weight and bulk in your pack. A good way to test what you like is to go out on a couple of summer hikes with loaded packs and see what works for you.
I tend to carry a little more in the way of first aid. Only carry it if you know how to use it. I'm also my friends' personal medic when out in the backcountry haha. As well I would say it is very important to carry some sort of backup headlamp with spare/rechargeable batteries. It is also a good idea to carry a couple of zip ties in case you need to repair your pack to get you through the trip.
For gear accessories I'll go over my call setup and a couple other little diddy type stuff that I bring for either emergency needs or stuff that makes life in the backcountry a little more comfortable. Aside from the calls, this gear is all just want you want to pack. The electrical tape is for barrel wrap.
There are many options for shelter and cooking.
Food accounts for half your pack weight. I try to plan for anywhere between 2500 to 3000 calories a day. This is split up between oats for breakfast, bars and candy during the day, and one freeze dried meal at night. The most important thing to remember is to pack things you will eat and food that is high in calorie content. One quick tip is to unwrap as much of your stuff as you can to reduce the garbage. As well I take all my food for one day and I vacuum pack it in one pouch. That way all my food packs tight and I can just grab one pouch per day. All my food pouches also go in one roll too dry bag that keeps it separate in my pack and also allows me to sling it up in a tree at base camp. Again, try the food first and make sure it is stuff you will enjoy eating. There is a lot of variety out there to pick from.
I also pack two electrolyte pouches a day that I put in a separate Hydrapak soft flask (500ml). This keeps my water bladders from getting gummed up.
Pick a freeze dried meal that packs a big punch but won't mess up your insides. Try them before you go out to make sure your body will accept them. I take all my freeze dried meals out of their package and put them in a ziplock bag. Ziplock bags are burnable.
I take one set of clothing other than socks and underwear, of which I bring two each. My clothing is lightweight but through layering can be extremely warm. The three musts I have are breathability, lightweight, and functionality. Every piece I wear has its own function. Merino base layers stay warm when wet and repel odor very well. I use a synthetic insulating layer because it still functions when wet (ie. sweat). Down is lighter and packs smaller but the functionality of synthetic trumps the benefits of down. The two most important features of pants for me are durability and side vents. I hike a lot and I cannot stress the importance to be able to dump heat.
If the weather looks warm I usually decide not to take my outer layer jacket as I can always use my rain jacket for this function. So most of the time I choose to leave the Jetstream jacket at home.
As for boots, try on different brands and find what fits you the best. Boots can be a hard cost to swallow but good boots are the most important piece of gear you need to go on a mountain hunt. If you can't walk the hunt is over, so get a good pair of boots.
Clothing accessories can add up in weight fast so take only what you need to get through the hunt. I take one hat, one pair of gloves, one beanie, and a set of gaiters. The only duplicate clothing I bring is a second pair of socks and a second pair of underwear. That way I can wash one and wear the other. A pair of thin sleeping socks can be a nice comfort as well. You can also throw in a pair of down mitts if you think it will be cold. Try to keep accessories to a minimum.