It's extremely unlikely if the person who has ghsv1 doesn't have symptoms.
First, ghsv1 rarely sheds, rarely recurs, which means it rarely transmits.
Also, herpes rarely transmits from the genitals to the mouth in general.
If both partners have hsv1, it's not possible at all - you can't give someone what they already have.
In the absence of symptoms, oral sex isn't something I'd worry about at all.