The big four:
Pack - Deuter ACT Lite 70+10l 4.5lbs.
Tent - Tarptent Rainbow 2.2lbs.
Sleep system (bag) - Enlightened Equipment Revelation 1.5lbs.
Therm-A-Rest NeoAir XLite (large) 1lbs.
Footwear - Saloman Ultra X Mid 2 GTX 2lbs.
Smaller important stuff:
Water filtration - LifeStraw, and Sawyer Mini
Lighting - Petzl Tikka RXP headlamp
Stove - BioLite campstove
Dishes - Some mess kit that my family bought years ago.
Tops - one tank top, one t-shirt, one long sleeve shirt.
Bottoms - one pair shorts, one pair knee-length leggings, one pair pants
Underclothes - two pairs underwear, two sport bras
Socks - four pair smartwool ankle socks
Headwear - one trucker cap, one beanie
Toiletries & similar:
Towel - small, quick drying camp towel
Soap - Sea-to-Summit
Shower - Sea-to-Summit pocket shower (say what you like, this'll be nice)