Hebe is the Genus , Do you know the Species ? There are a lot of them . I have read that some of them are toxic to dogs that cause Upset stomach, heart failure, excitability or lethargy. May also cause dermatitis.
I would stay clear of the plant just in case.
Hebe acutiflora
Hebe albicans
Hebe amplexicaulis
Hebe armstrongii
Hebe barkeri
Hebe brachysiphon
Hebe breviracemosa
Hebe brevifolia
Hebe buchananii
Hebe canterburiensis
Hebe carnosula
Hebe chathamica
Hebe cheesmannii
Hebe ciliolata
Hebe colensoi
Hebe cupressoides
Hebe decumbens
Hebe dieffenbachii
Hebe diosmifolia
Hebe elliptica
Hebe epacridea
Hebe gibbsii
Hebe glaucophylla
Hebe gracillima
Hebe haastii
Hebe hectorii
Hebe hulkeana
Hebe lavaudiana
Hebe leiophylla
Hebe ligustrifolia
Hebe lycopodioides
Hebe macrantha
Hebe matthewsii
Hebe obtusata
Hebe ochracea
Hebe odora
Hebe parviflora
Hebe pauciramosa
Hebe pimeleoides
Hebe pinguifolia
Hebe propinqua
Hebe rakaiensis
Hebe raoulii
Hebe recurva
Hebe salicifolia
Hebe salicornioides
Hebe speciosa
Hebe stricta
Hebe subalpina
Hebe subsimilis
Hebe tetragona
Hebe tetrasticha
Hebe topiaria
Hebe traversii
Hebe trisepala
Hebe venustula
Hebe vernicosa