What should your feet look like in climbing shoes?
Your toes should be slightly curled inside the shoes, though, this depends on how aggressive the shoes are, the size of the shoes, and the shape of them.
If you have wide feet, you should try to find shoes that are wider and have a wider toe box. If you have narrower feet, you should find shoes that fit a narrow foot shape. This all makes a difference in how your foot will look and feel inside the shoes.