Pulmonarias self-seed with enthusiasm, so if you don't want more plants, be sure to cut off the flowering stems once the flowers have faded.
What to do with Pulmonaria after flowering?
When it has finished flowering I cut the leaves right back in June to encourage fresh new growth and discourage mildew. As well as 'Sissinghurst', P. officinalis 'Alba' and P. angustifolia 'Alba' are also excellent white forms.
Should you deadhead Pulmonaria?
You may wish to deadhead Pulmonaria after the flowering period to prevent seeds from spreading in beds and borders. You may also wish to cut back Pulmonaria if the foliage becomes untidy – this is best undertaken in late February. Water well after deadheading or pruning.