The phrase usually implies someone was unfairly influenced into doing something they didn't want to do. She felt like she was suckered into working the extra shift.
Pro Tip 2/3
Colloquial Use
'Sucker into' is informal and more common in spoken English than in formal writing. Don't let them sucker you into another one of their schemes.
Pro Tip 3/3
Caution in Usage
Be mindful of using 'sucker into' as it can sound accusatory and may offend the person you're speaking to. I'm not going to be suckered into covering for him again.