This article from the BBC – by Jane Wakefield – gives a good all round picture of how the cyber-war is being carried out, the consequences and responses.
Ukraine invasion: How the war is being waged online – BBC News
The nature of the internet and email means that some of these attacks will spread outside the conflict area – possibly to you.
Further Reading
Russia or Ukraine: Hacking groups take sides – The Record by Recorded Future
How Russia’s invasion of Ukraine will affect your cybersecurity | TechRepublic
After Ukraine recruits an “IT Army,” dozens of Russian sites go dark | Ars Technica