Green’s Dictionary of Slang

(Aus.) a glance, a look.

1919		W.H. Downing Digger Dialects 25: geek (n. or vb.) — Look.
1924		(con. WWI) A.G. Pretty Gloss. of Sl. [...] in the A.I.F. 1921–1924 (rev. t/s) n.p.: geek. Look.
1967		J. Hibberd White with Wire Wheels (1973) 156: Just get a geek at those lines, gentlemen.
1979		J. Morrow Confessions of Proinsias O’Toole 97: But just now I’d like you to tell me the name of thon unfortunate cratur over there and let me have a quick geek in your wee attaché case.
1989		J. Hibberd Memoirs of an Old Bastard 58: Would Madam like to have a geek at her first stump-jump plough?
2003		McGill Reed Dict. of N.Z. Sl. 84: geek 1. A look. From Cornish geek, an intense look. ANZ from WWI.