June originally wanted to pursue in the medical career; it wasn't until she saw an advertisement in The Times about an audition at The Old Vic Theatre School that she considered taking up acting as a profession and after writing to the theatre, gained an audition and a place. June was later taken on tour and landed in Sweeden to take part in the production The Taming of the Shrew. In 1970 she landed the role of Mrs Parsons in Coronation Street and later returned to the role for a short stint the following year. She then went on to appear in the theatre production The National alongside Judith Dench.
She landed the part of Dorothy Cotton in 1985, the nosey but loveable hypochondriac chain-smoking Christian mother of the bad boy Nick Cotton. By the time June had landed the role of Dot she had had a dreadful year only having three jobs in that year. June stated that she landed the part because she was punctual. June remained in the role of Dot for eight consecutive years before taking a four-year break. June is one of the most significant figures in soap opera history as she is the only actress to carry out an entire single-handed episode in 2008 and in the same year was awarded the MBE.