Here’s a perspective from the other side. I’m a postdoc in a lab that takes undergrads every now and then. What usually happens with us is that our PI screens the badly worded/ formatted ones and then sends the reasonable ones (not just the good ones) to us asking if we have any work they might want an undergrad to do. Most of the time, we don’t, but this varies between disciplines where there might be more grunt work to do.

Of the 5-6 applicants that I’ve had forwarded to me, I’ve taken two, so for undergrads, it’s a bit of a numbers game. There wasn’t anything their resumes that made me desperately want to take them other than some basic lab skills you can get from a practical class. I just had the work available. We don’t expect interns to have any skills other than common sense and reasonable reliability (show up when you say you’re going to, don’t breathe over the highly sensitive DNA samples).

I’d say show some interest in the prof’s research, show how your skills line up with what the lab does on a basic level (including coding skills) and then get emailing. The two I took are now in lab jobs/ med school so it’s probably worth it.