I always ski in my hiking jacket, which I also tend to use on rainy days throughout the year. It's wind and water proof (I'd think wind is more important than water as I wouldn't ski in rain, but you mention getting wet so what do I know), and has zippers under the armpits so I can cool down a bit if necessary. It is extremely thin and lightweight. The brand is Bergans (of Norway, middle end), but there are plenty of good options. Underneath I just layer up with wool until I'm comfortable.

Not really a specific jacket recommendation, more a general advice to get a good jacket you can use for other activities as well. For a beginner there's no reason to have a jacket dedicated specifically to skiing.

I also ski in winter hiking pants. The problem with those is that they don't go over the shoes in alpine skiing, which would have been more ideal. I can't say it bothers me much though.