This is unclear. The antecedent of “one’s” in “one’s own lab” is not given. Does “one” refer to some researcher or faculty member? Or does it refer to the student? If the latter, are you saying there are places where undergrads are given their own labs to research in? That would be odd, considering that most schools have to carefully budget lab space; it’s hard to imagine any administration assigning a room to some sophomore or even senior, so that he could practice the art of research, when there would be stiff competition for limited lab space among professors, post-docs, and graduate students.
In short, you’re not being clear. Maybe the other molecular biologists here will know what you mean, but the general layman won’t. Who are these undergrads, what year-level are they at, where are these labs, who’s paying for the lab equipment and lab time, and are these undergrads working alone or under supervision, etc.? And do they pick their own topics of research, or are they assigned something by a faculty member? You’re offering a very muddy picture.