No; I actually learned about that today (not joking). They both have 14 lines, but Shakespearean sonnets are made up in a different way. They rhyme in different patterns. So, to answer your question, no, a Shakespearean sonnet was not also called an Italian sonnet.
sonnet
Sonnet 18 and sonnet 116
It is also called the English sonnet. The other form is the Italian sonnet, or petrarchan sonnet.
It really rather depends on what the modern sonnet-writer is doing. A modern sonnet-writer might well adopt the rhythm, rhyme scheme and general structure of Shakespeare's sonnets. In this case, the only difference would be that they are different poems which is obvious.
Sonnet 130
The Sonnet Series - 2013 Sonnet 31 The Old Man and the Sonnet 1-8 was released on: USA: 1 May 2013
The Italian Sonnet
It is a petrarchan sonnet, made out of an octave and a sestet.
If you mean William Shakespeare's sonnet 73, it is not surprisingly a Shakespearean sonnet.
sonnet is consisted of fourteen lines,there are two kinds of sonnet-octave and sestet
Shakespeare's sonnet 130 is a Shakespearean sonnet in terms of rhyme scheme. Its meter is iambic pentameter, and its tone is satirical.