Sure! Here’s the text with the verbs in brackets put into the correct form:

Dear Julie,

I am writing 1) **to thank** (thank) you for the lovely birthday present. I was so happy 2) **to receive** (receive) it. It was really nice of you to send something. On my birthday, I went with some friends to the Mexican restaurant in Poplar Street. If you haven't been, you really should 3) **try** (try) it. After that, we went 4) **dancing** (dance). It was lots of fun.

My parents have agreed 5) **to pay** (pay) for tennis lessons. They're glad 6) **to see** (see) that I'm so interested in a sport. I'm looking forward to 7) **having** (have) my first lesson this Saturday. I can't wait 8) **to tell** (tell) you all about it.

Well, I must 9) **go** (go) now. I hope 10) **to hear** (hear) from you soon. Take care,

Madeleine