How do I get my hair to look like this and stay like this?

Straighten it with a flat iron. The key to getting smooth shiny hair like that is to use the right products. You want to use a serum and spray shine on your hair. Use something like heatglide by redken or biosilk drops. Then as you go over each section with the flat iron spray with a shine spray. this smooths, shines and protects the hair.