This is an autograph book, also known as an autograph album.
Autograph books became popular in the 18th and 19th centuries, particularly among students and scholars in Europe, to collect signatures and well wishes from friends and family.
They were used to preserve memories and served as sentimental keepsakes.
The books often contained signatures, drawings, poems, and other personal messages.
The one shown in the image has a red velvet cover with the word "Album" in a decorative silver script.