I'm not advocating for escape characters instead of proper prepared queries, but in that case you would "simply" need to un-escape the name before showing it.
This SQL literal string:
'Gijs in \'t Veld'
Is a representation for these ASCII bytes/content: Gijs in 't Veld
In other words. The backslash will not be stored as part of the string into the database. It's just a hint to the SQL parser that the following single quote should be interpreted as a literal single quote char and not as the end-of-string-character.From a security perspective there is nothing more "proper" about prepared queries than correctly escaped non-prepared queries.