Yes, you will get 1920x1080 resolution.
The native resolution of a 13" Retina Macbook Pro is actually much higher. From Apples website:
Retina display: 13.3-inch (diagonal) LED-backlit display with IPS technology; 2560-by-1600 resolution at 227 pixels per inch with support for millions of colors
Native resolution: 2560 by 1600 pixels (Retina); scaled resolutions: 1680 by 1050, 1440 by 900, and 1024 by 640 pixels
The 13" retina MBP can also handle 1080P and higher resolutions through HDMI:
HDMI video output
Support for 1080p resolution at up to 60Hz
Support for 3840-by-2160 resolution at 30Hz
Support for 4096-by-2160 resolution at 24Hz
http://www.apple.com/macbook-pro/specs-retina/