If you’re using a “Timed Bake” setting on the oven, and if the oven is working properly, and if you know the general process / procedure and if you follow that correctly, then yes, the oven will shut off afterward.
However, it’s up to you to answer all of the “if” conditions that I’ve raised. If you’re not using “Timed Bake” (or whatever such setting applies on your equipment), then no, the oven will not shut off when it reaches the set temperature. That is, it won’t “shut off and stay off”. When the oven reaches the set temperature then it will shut off temporarily until the oven temperature drops somewhat below the set temperature, then turn on again, and so forth until you turn the thing off for good.