I am not sure why this is surprising. Elizabeth the 1st was very well educated. Her tutoring was the finest available. Her education was in many ways superior to the other rulers of her times.
She spoke and was literate in a number of languages by the time she was in her teens. In Britain there was a great value placed on education during the Renaissance, and the landed gentry got the best available. Henry VIII had been well educated, and expected his children to be well educated.