"The student has his own site."

Translation: Ο μαθητής έχει την δική του ιστοσελίδα.

[Speugenia]

"Ο μαθητής έχει το δικό του δικτυακό τόπο" is the correct translation for this. "site/web site = δικτυακός τόπος", "web page = ιστοσελίδα".
Web site definition copy-pasted from Wikipedia: "A website, also written as web site,[1] is a collection of related web pages..." here: https://en.wikipedia.org/wiki/Website :-)

[Theo_Matrakas]

Added!

[spdl79]

"ο μαθητής έχει τη δική του τοποθεσία" is currently marked as incorrect, general strengthening on web. "site" in the En could really be "location" or "website"; it's not clear.