The Getty-Dubay writing system in the book you have ordered is a version of ‘Italic’ script.
It is based on the hand that was developed by a Papal scribe for use in the Vatican Chancellery during the Italian Renaissance, as a script that would be quick and easy for officials to write, and still be easily-legible. Both of which factors are important when creating official records by hand.
Various versions of Italic script have been developed, by various people.
The main distinguishing feature of Italic scripts (apart from a slight slant) is that they don’t feature the loops and flourishes that are components of many ‘Cursive’ scripts.
There are other Italic scripts available. Here are two threads about them that I have participated in, and which contain links to information about/downloadable font sets of the scripts in question.
First, a thread that discusses the handwriting models created by the Ministry of Education of the government if France:
The French Ministry of Education allows one to download the fonts for both of its handwriting models in versions that are ‘loopy cursive’, and in versions that are loop-free italic.
The fonts include versions that print out background lines, so one can create one’s own practice sheets on one’s computer, and then print those out.
There’s a link to PDF that shows all the styles of each model.
Personally, I like the ‘italique’ version of ‘Écriture B’.
Secondly, a thread about the cursive italic style that was developed for use in the schools in Sweden in the 1970s:
There are also other threads about Italic scripts on this board of FPN, some of which may be more-informative than those two, or offer other writing models that you may prefer.
I advise you to see if you can hunt any down with the ‘Search’ function at the top of this page
Slàinte,
M.