Do any of these websites look familiar? These are often starting points for how people get science news today. They can also hear it on news broadcasts or by listening to the radio.
Science news comes from reliable resources. What reliable resources? The actual science and research that's being done. After scientists write peer-reviewed primary research articles and peer-reviewed secondary review articles, the information is disseminated to the general public via TERTIARY resources.
Tertiary resources are written for the General Public and are much easier to understand than the primary and secondary articles they are based on.
Tertiary resources are written by journalists and are meant to summarize science research of science topics in an easy to understand way. Think about listening to the news and hearing about new studies about drugs or treatments, those are great examples or tertiary science news.
Tertiary resources are NOT peer-reviewed, but are instead based on trusted science information. Keep this in mind while looking for tertiary resources.