Maybe it is one of these:
Recommended Varieties
English Lavender (Lavandula angustifolia) USDA Hardiness Zones 5-8
‘Munstead’ An old-fashioned standard with blue-purple flowers. 18” tall
‘Hidcote’ is favored for its dark purple flowers. 24” tall
‘Jean Davis’ produces pale pink flower spikes. 18” tall
Lavandin (Lavandula x intermedia) USDA Hardiness Zones 5-8
‘Provence’ dries particularly well. 30” tall
‘Grosso’ is highly disease resistant and fragrant. 30” tall
Fringed Lavender (Lavandula dentata) USDA Hardiness Zones 8-9
This is a bushy, spreading shrub that produces dense purple-blue flower spikes that are very pretty, but only mildly fragrant. 3’ tall
French Lavender (Lavandula stoechas) USDA Hardiness Zones 8-9
A beautiful Mediterranean native that is compact and bushy with fragrant, dark purple flowers topped by a feathery purple bract. Good cultivars include: ‘Dark Eyes’ and ‘Silver Frost’.
Spanish Lavender (Lavendula stoechas subsp. pedunculata) USDA Hardiness Zones 9-10
Bears its flower stalks high above the foliage.
I think it’s either French or Spanish lavender. They are sometimes both known as “bunny ears” for those top two petals that stick up. Spanish is a little darker, though, so I’d say it’s French lavender.
Lavender is a great plant. Lots of sun, water but not too much, and it will be happy.