earth - what is the time mentioned after date (1962-07-03+02:00) the +02:00?

As indicated in the comments, the +02:00 is the ISO 8601 syntax for the time zone. Specifically, it indicates a time zone 2 hours east of UTC.

whois dbpedia.org indicates that the site is hosted in Berlin, Germany, which is consistent with the +02:00 time zone.

The fact that the data includes the date and time zone but not the time is probably an error. This particular datum 1962-07-03+02:00 is Tom Cruise's birthday; in fact he was born on that day in Syracuse, New York.

A data representation that includes a date and time zone but no time is peculiar, and I'm not sure that it conforms to the ISO 8601 standard. The description in the Wikipedia article seems to imply that a time zone can only follow a time. I haven't checked the standard itself.

A representation of just the date: 1962-07-03 would make more sense, and would be more useful. This is probably a bug in the software that runs dbpedia.org.