Would you like to spend a luxurious, blissful moment at an aesthetic salon?
Literal
Aesthetic-salon [at-で] elegant blissful moment [obj-を] spend [try-てみませんか]?
エステサロン is the Japanese term for a beauty/spa treatment salon (from French 'esthétique'). 至福のひととき 'blissful moment' (至福 'supreme happiness' + ひととき 'a moment/while') is poetic. ~てみませんか 'won't you try X?' is a polite invitation combining ~てみる (try doing) + ませんか (won't you). Classic advertising copy.