终于下雪了！

今年冬天的天气好温暖了。 一般来说，十二月在我附近降雪天气来（→我们这里十二月会下雪），可是最近十二月我们今年没有了什么积雪。 

This year's winter has been quite warm. Generally speaking, in my area, we get snow in December, but this past December, we havent gotten any.

上周末开始下雪了。 这让我好高兴了。从小我就爱讲学下雪天气。有人民觉得这样寒冷的天气太恶劣了。可是对我下雪怎么宁静了（→可是我认为下雪天很宁静）。外头没有noise（喧闹声）, 大家都在房子里。我穿warm （暖和的）衣服，喝咖啡，看书，听有些relaxing（放松的）音乐。 好和平了（平静），好舒服。

Last weekend it started snowing. This made me so happy. I have loved snowy weather since I was a child. Some people think this kind of cold weather is too harsh, but I think it's so peaceful! Outside, there's no noise, everyone is inside their homes. I wear warm clothes, drink coffee, read books, and listen to relaxing music. It's peaceful and comfortable.

终于下雪了！

今年冬天好温暖。 一般来说，我这里十二月早就下雪了，不过今年十二月却不见下雪。
This year's winter has been quite warm. Generally speaking, in my area, we get snow in December, but this past December, we havent gotten any.

上周末下雪了。，这让我好高兴。我从小就爱下雪天。有的人觉得这样的天气太寒冷、太恶劣了，可我觉得下雪天很平静。外头没有噪音， 大家都在家里。我穿着暖和衣服，喝着咖啡，看着书，听着轻松音乐。 好平和，好舒服。

Last weekend it started snowing. This made me so happy. I have loved snowy weather since I was a child. Some people think this kind of cold weather is too harsh, but I think it's so peaceful! Outside, there's no noise, everyone is inside their homes. I wear warm clothes, drink coffee, read books, and listen to relaxing music. It's peaceful and comfortable.

Compared with your article, u will find some difference, and u will learn more. 

终于下雪了！

今年冬天的天气好(很/非常)温暖了。 一般来说，十二月在我附近｛这里是｝降雪天气【（我们这里十二月通常会下雪）】来，可是最近十二月我们没有了什么积雪。
This year's winter has been quite warm. Generally speaking, in my area, we get snow in December, but this past December, we havent gotten any.

上周末开始下雪了。 这让我好高兴了。从小我爱讲学天气（下雪天）。有人民觉得这样寒冷的天气太恶劣了可是对我下雪怎么宁静了（是非常美好的）。外头没有noise（噪音）, 大家都（呆）在房子里。我穿warm（暖和的） 衣服，喝咖啡，看书，听有些relaxing（放松的）音乐。 好和平（安静）了，好舒服。 

Last weekend it started snowing. This made me so happy. I have loved snowy weather since I was a child. Some people think this kind of cold weather is too harsh, but I think it's so peaceful! Outside, there's no noise, everyone is inside their homes. I wear warm clothes, drink coffee, read books, and listen to relaxing music. It's peaceful and comfortable.

终于下雪了！You have other grammar corrections, so I won't add my two cents...  This is how I would translate from your English by  meaning and intent :)

终于下雪了！