Garden framework (7)
(Other definitions for pergola that I've seen before include "Framework for climbers" , "Structure for climbers" , "Garden archway" , "Garden support" , "Garden trellis feature" .)
(Other definitions for lattice that I've seen before include "Sort of window" , "Fretwork, grille" , "Framework of crossed laths or bars" , "Regular atomic structure" , "Grid" .)