I did! All in black (more akin to a bin bag than a ninja) trying to hide in deserted locations for fear of being seen and recognised for the imposter I was.
Three years on, I'm still running (I even actively scour through photos after a race, looking for the elusive good photo that proves I run like a gazelle π) and recently I notice our streets are significantly busier with runners than I've ever seen them. I guess some are people working from home so running at different times, or perhaps running from home rather than at work. But I bet there are a lot of new runners out there too, very possibly following C25K.
But here's the thing. I look at them and I really can't tell whether they're new to running or not. Some look hot and bothered (as I was), some look out of breath (as I was), some are running slowly (as I did), some are walking (as I did); but I can't tell if they've just set out or if they've already been running for an hour, I can't tell if they're on a fast interval training run or doing run/walk intervals, I can't tell if they've been running for years or just a few weeks. I'm sure some must be new to running - but I can't tell which.
Remember, you don't have a label on your back when you're following this program. The only thing anyone knows is that you're out for a run. They're either thinking 'lucky you, be my chance for a run soon' or maybe 'wow, wish I could be bothered to do that'; they're definitely not thinking 'there goes someone trying to be a runner', 'there goes someone who shouldn't bother'.
Don't be self conscious as you start out. There is nothing to hide. No one will know you are a novice runner.
Enjoy and good luck.