> **听说**，我在报纸上**看到**一篇关于她的新闻，他现在已经是一个有名的作家了 

The sentence is incorrect, as 听(hear) and 看(see) represent two different senses, a conjunction is required to link them into one sentence, 

- 我听说(**了**[了1]), "**也**"在报纸上看到(**了**[了1])一篇关于她的新闻，他现在已经是一个有名的作家了[了2]. Or 

Note that "了" is optional in this case, since the verb phrases "听说" and "看到" indicate the actions are/have been completed already. However, "了" is necessary to mean the action has been completed if you say,

- 我在报纸上**看了**[了1]一篇关于她的新闻，他现在已经是一个有名的作家了.

A good/clear learning resource for 了1 and 了2 - https://resources.allsetlearning.com/chinese/grammar/Uses_of_%22le%22

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**ADD (by user @tatiana):**

To explain it clearer, 了 is for converting a past tense to a complete tense in this case.

我在报纸上看到一篇关于她的新闻 = I read a news about her in a newspaper.

我在报纸上看到了一篇关于她的新闻 = I have read a news about her in a newspaper.

Basically in most cases, when you are putting a 了 after a verb, you are indicating that this action has been finished.