get the picture

understand - know and comprehend the nature or meaning of; "She did not understand her husband"; "I understand what she means"

figure - understand; "He didn't figure her"

catch on, cotton on, get it, get onto, get wise, twig, latch on, tumble - understand, usually after some initial difficulty; "She didn't know what her classmates were plotting but finally caught on"

intuit - know or grasp by intuition or feeling

digest - arrange and integrate in the mind; "I cannot digest all this information"