。
Yuka types better than Alice.
Literal
Yuka [topic-は] Alice-than skillfully type [object-を] hit-[polite-ます].
A comparative with explicit より. じょうずに is the adverbial form of 上手. タイプを打つ ('to type,' literally 'hit a type') is the standard way to say 'type on a keyboard' — 打つ ('to hit, strike') is used for keys, drums, gongs, and anything struck. Slightly dated; modern Japanese often just uses タイピング.