>>1666312If you had questions about clothing, I suggest you put them in your first post.
Hardshells should be fine though slightly overkill.
Layering is always your friend in mountaineering:
- synthetic/wool base layer (think long johns)
- thermal layer (fleece or puffy jacket)
- protective layer (hard or soft shell)
I have no experience with that particular mountain, only mountains in the very Southern alps. They're about 1000 m lower than yours, and by July the snow is thawed out completely.
In June, you'll have sun. Don't think it'll be snowy and blizzards, for the most
part you'll be in sunlight. Get sunscreen, sunglasses, and a hat.
You will likely start your ascent in the dark, early in the morning. At that time it will be cold so you'll still need the clothing above, but you can likely skip the base layer on your legs (I only wear shell pants in June), and wear a short-sleeved base layer upper. Remove layers when the sun comes up, and at rest stops or in the shade, put on a puffy or a shell.
What you might need in terms of equipment are crampons, an ice-axe, and a harness. This depends on the route and the style of your ascent. The people organizing your trip should have given you this information (what equipment you need).
