She majored in German at Cambridge University and graduated.

Literal

She [topic-は] Cambridge-University [at-で] German [object-を] majored [and-て] graduated.

A clean two-clause structure linked by te-form: 専攻して ('majored in and') + 卒業した ('graduated'). The で marks the location/institution of the activity. Notice that ドイツ語を専攻する takes を, but the related verb 卒業する takes を for 'graduate from' (大学を卒業する) — the kanji 業 ('the studies') is what's marked as the object being completed. Cambridge is Cambridge — university towns and major institutions tend to keep their original names rendered in katakana. ドイツ語 ('German language') is built from ドイツ (Germany, originally from Dutch Duits) + 語 ('language'), the productive language-name suffix.