Can these sentences be the same premise?

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I have these two sentences:

Blonde girls have some dolls
Only blonde girls have some dolls

and I have reached the same point: ∀x (G(x)∧B(x)→ ∃y (H(x, y)∧D(y)) ) where

G (x) -> x is a girl
B (x) -> x is blonde
H (x, y) -> x has y
D (x) -> x is a doll

I've been thinking about it for a while. What do you think? Are we talking about the same? Thanks.