Shop the edit means go shopping at this destination offering a curated selection of stuff.
Shop is a transitive verb born of the noun shop. Edit is a noun born of the verb edit.
From the Oxford English Dictionary (login required):
Origin: Formed within English, by conversion. Etymon: SHOP n.
Etymology: < SHOP n.
4. b. transitive. To go shopping at (a store, an online retailer, etc.); to examine goods on sale in (a shop, etc.).
Originally North American.
Albert Lea (Minnesota) Eve. Tribune 17 Feb. 10/3 (advt.)
Shop the store that gives you more.
1974 S. MARCUS
Minding Store iv. 85 One man who had shopped the entire store complained that he hadn't found what he was looking for.
Harper’s Bazaar (U.K. ed.) July 39 From this month,
Brits can shop the online store.
Edit is not a shortened version of editorial or edition; it’s a “real” noun. More from the OED:
Origin: Formed within English, by conversion. Etymon: EDIT v.
Etymology: < EDIT v.
4. A selection of clothes, accessories, beauty products, etc., from a particular season or collection, esp. as chosen by a fashion
buyer, editor, or designer.
1993 Elle Oct. 190/1
The clothes he chose for them [sc. models]..represent the
most graphically striking the new store has to offer. ‘What sets
Barneys apart..is the incredible edit. You end up with a focused point
1999 Independent (Nexis) 22 Aug. (Features
section) 8 Just swing by the store for the best edit of zebra,
tiger, leopard and dalmatian print boots, stiletto sandals and
2011 Harper’s Bazaar (U.K. ed.) July
141/1 A breathtaking array of..brands, all handpicked to form
an exciting edit of the world’s best products.
As Merriam Webster puts it, an edit is an instance or result of editing.