China Daily, as well as Shanghai Daily and Shenzhen Daily, belong to the same kind of newspapers and are very political. But domestic news is mostly written by journalists from China, and the language is more like China. If you want to read foreign newspapers in the future, you should start by reading China Daily. After all, the news words in it are very professional, so it is recommended to read them after having a certain foundation.
The magazine "English Learning" you mentioned was compiled by Beijing Foreign Studies University. There are several magazines, including the world youth edition (bilingual edition) and the more difficult and authoritative ones, which I recommend. Similarly, there are English Salon, New Oriental English, English Square and Overseas English. I often read New Oriental English. The layout is beautiful, but this one is a bit expensive. English World is an old magazine, which mainly focuses on translation cards. If you want to learn translation, it is good to read more books. But you are only a freshman, so you'd better lay a good foundation in English first.
Reading English books is also good. What I like to read is The Adventures of Sherlock Holmes, which is moderately difficult in language and interesting in plot. Harry Potter hasn't seen it, but since it is for teenagers, the language difficulty should not be great.
In short, choose what you like to read, just like I don't pay attention to financial news, so I can't even understand Chinese articles, let alone English.