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No typefaces, all hand-lettered, all very nice.
Prefer it to the modern GP watches with their art nouveau-ish logotype, they feel a bit '70s to me. It's not Korinna or Benguiat (the Stranger Things font, used because it was the Stephen King book cover font for many years) but it's in that vein. It's actually quite nicely drawn when you see the full logotype, it's more the way the "GP" looks like it's trying to form a heart shape. Not my taste, is all.
Properly nice.. I have two watch (non) purchase regrets (both in pawnshop windows), A gold JLC similar period to your GP about ten years ago, and an Omega Montreal about twenty years ago. Both interesting like your GP.
Interested to hear @Regal views on the typeface(s) on the GP