First, the Greek Reporter has a useful orientation article, with a brief history and some information on its manuscripts:
Historic St. Catherine’s Monastery on Mount Sinai (Philip Chrysopoulos).
Then the Jewish Press reports on a new digitization initiative by the Israel National Library:
Ancient Christian Manuscripts from Mount Sinai Monastery Go Online via Israel’s National Library.
The INL took the 1,600 photos of the manuscripts and the monastery in the 1960s, but they only digitized them in recent years.
For many PaleoJudaica posts on St. Catherine's Monastery, its manuscripts, and their digitization, start here (cf. here) and follow the links. And for other manuscript digitization projects, see here and links.
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