There's a pretty common finding according to linguistics/psychology research that children, for the most part, pick up the speech styles and accents of their peers in the long term, not their parents. That's why children born to immigrant parents who themselves completely cannot speak the native language of an area, can still learn to speak completely like a native as long as they are surrounded by and grow up with native speakers all around them. Provided that the peer group they interact with in said language, and socialize with in the wider society during their formative years is primarily that of native speakers outside the home, there's not particularly strong evidence that an extra or different language spoken inside the home hinders development. Young children's language learning abilities are incredibly flexible and switching between languages/dialects or overall talking styles in different places, like inside and outside the home, is very common worldwide.
Technically, everyone has an accent though -- it's just a matter of what accent. A Newfoundland accent is just as much one as an Australian or Jamaican one, or a "General Standard American" one for that matter -- they all reflect some local area or region where people talk. Would a Yankee or American Midwesterner fail the test for the job ad? If your criteria is "do you talk with the same accent as me, a Torontonian?", well a Texan very well might say no, as would say, perhaps a rural Maritimer. Canadian actors sometimes even have to undergo practice speaking with slightly different accents so that they can play Americans in the movies and indeed even though most North Americans often sound alike, as a Canadian living stateside I can sometimes still hear the way I sound slightly different from certain people in the Midwest area. When I lived in the Northeastern US, I even had one person tell me I have very slight British characteristics in the way I speak (which was puzzling since I've never been to Britain, so they must have been picking up on some Canadianisms). Among Torontonians who all grew up in the same area and who speak English completely natively, you can still notice slight differences in "accent"; for example some people have the stronger stereotypical "Canadian raising" sound, where some people pronounce the vowel in "out" in a more raised way (the sound that's stereotyped as "oot" by Americans, but it isn't particularly close to "oot" at all).
Usually when people mean they're looking for someone with "no audible accent", it means those speaking the same or an indistinguishable accent/dialect from the local area then, since everyone's got "an accent". Unless you're talking about something like performing, acting, radio or show business, however I don't think it's necessary for most jobs. Being able to converse fluently in English is probably enough for most dealings with the public rather than passing exactly like a local in speech.