Georgina Callander was among 22 people fatally injured when suicide bomber Salman Abedi attacked the Manchester Arena on May 22.
Miss Callander, 18, was attending an Ariana Grande concert when she was caught up in the blast.
Speaking as hundreds of thousands of students across the country collect exam results that will determine whether they are successful in getting to university, Miss Callander's mother Lesley told the Press Association: "We are really pleased with how she's done.
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"She was awarded an unconditional place at Edge Hill University to study a BSc degree in paediatrics.
"It made her very happy, the thought that she was off to uni to do what she loved.
"She was so excited about it because she'd wanted to do that since she was about 11.
"It is obviously sad for us because we were so excited for her when she got the news that she was off to uni, but we are just so proud of what she achieved."
Miss Callander, who lived in Tarleton, was in her second year of studying health and social care at Runshaw College in Leyland, Lancashire, when she was killed.
She was "loving life", having recently passed her driving test, and was "doing great" in her exams, the family said.