She showed off her jewelry with a smug look.

Literal

She [topic-は] jewelry [object-を] proudly showed-off.

見せびらかす means 'to show off/flaunt.' 得意げに is an adverb meaning 'proudly/smugly' — 得意 ('proud') + げ ('appearing') + に (adverbial). The suffix ~げ turns adjectives into expressions of outward appearance.