No, it won't.

  ~/code
  » cd foo
  ~/code/foo
  » git init
  ± foo:main:/
  » touch .env
  ± foo:main:/
  » git add .
  ± foo:main:/
  » g s
  On branch main
  
  No commits yet
  
  Changes to be committed:
    (use "git rm --cached <file>..." to unstage)
   new file:   .env
  
  ± foo:main:/
  » 

And even with it in .gitignore, I've dealt with multiple security incidents where someone has managed to commit it anyways. (And yes, I'm aware there are commands to do this, but what I haven't figured out is why someone would work around the safety and not think "what's the point of this?" prior to the bullet ending up in the foot.)

there shouldn't be any secrets in it so committing it shouldn't be a huge problem.