Per this question, it goes to say that you will receive bonus units for uploading all of the information on a planet.
As the title says, are there any additional bonuses for uploading all information for a Star System?
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As @MageXY correctly pointed out, no, there are no bonus units for uploading all data in a single system. The only bonus units you can receive are for cataloguing all unique species on a single planet.
You can still receive units for your discovery, and upload the data and receive units for uploading, but there is no bonus for finding every planet in a system.