different between look forward to and expect

look forward to + 名詞 (N) 或 動名詞 (V+ing)

ex.
I am looking forward to seeing you next week.

expect (v)

1.期待,期望
ex.
I expect (that) he'll pass the exam.

2.認為,指望,希望
The train leaves at 8:30 I'm expecting you all to be at the station on time.

3.想,認為
"Who broke that cup ?" "I expect it was the cat."

資料來源：朗文 英漢雙解活用詞典