I look forward to meeting you and I am eager to learn new things.
look forward to + -ing (meet + ing)
I am eager to learn new things. (NOT eager for learning)
We don't use 'for' before a verb to talk about purpose. Instead, we use to + infinitive.
She went to Canada to attend the conference. He is studying everyday to improve his English. I am going to New York to visit my grandmother.
[[ We can use ๐ณ๐ผ๐ฟ before a noun to talk about a purpose.
I went to Paris for an interview. He went to the pub for a drink. He is studying hard for the exam.
We can use ๐ณ๐ผ๐ฟ before a verb to talk about the purpose of a thing. (the reason why we use it)
We use an altimeter ๐ณ๐ผ๐ฟ measur๐ถ๐ป๐ด height above sea level. That stuff is (used) ๐ณ๐ผ๐ฟ clean๐ถ๐ป๐ด leather. The garden shears are used ๐ณ๐ผ๐ฟ clip๐ฝ๐ถ๐ป๐ด the hedge. He wears these old trousers ๐ณ๐ผ๐ฟ paint๐ถ๐ป๐ด.