The Gujarati script which like all Nāgarī writing systems is strictly speaking an abugida

Abugida

An abugida , also called an alphasyllabary, is a segmental writing system in which consonant–vowel sequences are written as a unit: each unit is based on a consonant letter, and vowel notation is obligatory but secondary...

 rather than an alphabet

Alphabet

An alphabet is a standard set of letters—basic written symbols or graphemes—each of which represents a phoneme in a spoken language, either as it exists now or as it was in the past. There are other systems, such as logographies, in which each character represents a word, morpheme, or semantic...

, is used to write the Gujarati

Gujarati language

Gujarati is an Indo-Aryan language, and part of the greater Indo-European language family. It is derived from a language called Old Gujarati which is the ancestor language of the modern Gujarati and Rajasthani languages...

 and Kutchi

Kutchi language

Kachhi Kachhi Kachhi (also spelt Cutchi, Kutchhi or Kachchhi, is an Indo-Aryan Language spoken in the Kutch region of the Indian state of Gujarat as well as in Sindh.- Closely related languages :...

 languages. It is a variant of Devanāgarī

Devanagari

Devanagari |deva]]" and "nāgarī" ), also called Nagari , is an abugida alphabet of India and Nepal...

 script differentiated by the loss of the characteristic horizontal line running above the letters and by a small number of modifications in the remaining characters.

With a few additional characters, added for this purpose, the Gujarati script is also often used to write Sanskrit

Sanskrit

Sanskrit , is a historical Indo-Aryan language and the primary liturgical language of Hinduism, Jainism and Buddhism.Buddhism: besides Pali, see Buddhist Hybrid Sanskrit Today, it is listed as one of the 22 scheduled languages of India and is an official language of the state of Uttarakhand...

 and Hindi.

Gujarati numerical digit

Numerical digit

A digit is a symbol used in combinations to represent numbers in positional numeral systems. The name "digit" comes from the fact that the 10 digits of the hands correspond to the 10 symbols of the common base 10 number system, i.e...

s are also different from their Devanagari counterparts.
Gujarati script is descended from Brahmi

Brāhmī script

Brāhmī is the modern name given to the oldest members of the Brahmic family of scripts. The best-known Brāhmī inscriptions are the rock-cut edicts of Ashoka in north-central India, dated to the 3rd century BCE. These are traditionally considered to be early known examples of Brāhmī writing...

 and is part of the Brahmic family

Brahmic family

The Brahmic or Indic scripts are a family of abugida writing systems. They are used throughout South Asia , Southeast Asia, and parts of Central and East Asia, and are descended from the Brāhmī script of the ancient Indian subcontinent...

.

The Gujarātī script was adapted from the Devanāgarī script to write the Gujarātī language.