"first glance of" is a correct and usable phrase in written English.
You can use it to describe your initial appraisal of a situation or thing. For example, "At first glance of the sky, I could tell that a storm was coming."
For at the first glance of the glory of God in the East he worships in his way.
In a dirty sarong and with close-cropped hair, he makes our narrator think, in her first glance, "of both a prisoner and a monk".
At a first glance of the electoral map, opinion polls show Mr. Bush is leading in enough states to assure him an electoral college victory.
But most Venezuelans caught their first glance of their future leader then, and Mr. Chavez has described the episode as the turning point in his life.
If my first glance of the morning was for the sun, my first thought was for the butterflies it would engender".
When he rounded a corner onto Vesey Street and got his first glance of the building close up — the fearsome east face — he gasped: "Fucking hell!" He made a joke about putting in a route up the sheer glass exterior.
Like the others in this space, Anniversary is designed for those whose random photos are actually worth a second glance, of course.
At first glance, some of the members of the International Union of Elevator Constructors appeared to be incredibly hard-working people.
At first glance, degradation of mtRNA in the IMS instead of the matrix where transcription and translation occur seems a little radical.
At first glance all of the above perceptions seem to be competing explanations of the causes of global imbalances.
And at first glance, some of its initiatives are indeed different from those of Travelocity and Expedia.
