To catch a glimpse is to see something for only a moment. A fox between two parked cars, gone before you have finished turning your head.
It takes of: catch a glimpse of the sea from the top of the hill. Catch is doing real work — the sight is fleeting and you were lucky, which is why the phrase suits wildlife, celebrities and the view from a train. Get is the plainer swap. Glance is the other half of the pair and belongs to the looker: you catch one of a thing, and you give one to a person.
1phrasecatch a glimpseTo see something for only a moment.
“If you are quick you might catch a glimpse of the fox.”
catch a glimpse is a brief sight of something.
Practised in Common Word Pairs