Since it is sometimes hard to find unbiased news sources, the Russian media can be hard to navigate. Here are just a few suggestions when trying to learn about the various facets of Russian media and culture.
Russia Today
https://www.rt.com/
This is a state-funded news outlet that is understood as the point-of-view from the Kremlin. It’s always interesting to learn what kind of thoughts the Kremlin wants to support, and since they cater to an international audience, they have a great Russian learning page that has lots of grammar, vocabulary, and speaking exercises.
Медиязона (MediaZona)
https://zona.media/
Pretty much the exact opposite of Russia Today, Медиязона was founded by two members from the group Pussy Riot, Nadya Tolokonnikova and Maria Alyokhina. They cover political stories, such as those about law enforcement and judicial news. This is a good way to find out about the few opposition media outlets, and what they are focusing on today.
The Moscow Times
https://www.themoscowtimes.com/
This is an English-Language, Moscow-based online newspaper. They are independent, and cover stories about pretty much anything. If you just want a more familiar outlet that still discusses current events in Russia from a local perspective, this is a good one to start with.
Of course there are many more Russian news sources to choose from. These are just a few very different ones that might get you started!