Born February 23, 2006, weighing 2,730 grams — our family's treasure.
Literal
2006 year 2 month 23 day, 2,730 grams [at-で] born our-family [possessive-の] treasure [copula-だ].
A proud parent's birth announcement. 我が家 'our family/household' is a slightly formal, affectionate term. 宝物 'treasure' as a metaphor for a beloved child. ㌘ is a special typographic abbreviation for グラム (grams). The sentence is a fragment — no main verb, just a nominal predicate. Heartfelt and personal.