Great-grandfather, wow. Amazing to have that in the family.
Take photos from various sides of the watch, especially capturing any numbers or engravings. When it's open, the key photos will be of the inside of the case-back (with number in focus) and of the movement. Since it's automatic, there will be a rotor partially blocking your view of the movement, so you will want to move the rotor to various positions to make sure you capture everything. In particular, you want photos of the serial number in the movement (probably 8 digits), and of the caliber number (probably 3 digits) of the movement. Obviously take photos of any other engravings that you see.
Once you have all that info, you can set up a free account on the Longines website and request an complimentary Extract of the Archives (
https://www.longines.com/en-us/certificate-of-authenticity).
The ends of that bracelet are spring-loaded, so they have a tendency to damage cases, especially gold-filled/plated cases. I don't recommend using it.
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