I'd like to meet lots of people, learn about the culture and gain a deeper knowledge of Canada.
I'd like to make lots of new friends, learn about the customs and culture as well as gain a broader perspective of Canada.
次のような言い方はどうでしょうか？
1) I'd like to meet lots of people, learn about the culture and gain a deeper knowledge of Canada.
「カナダでたくさんの人と出会い、文化について学び、知識を深めたいです。」
2)I'd like to make lots of new friends, learn about the customs and culture as well as gain a broader perspective of Canada.
「カナダで新しい友人を作り、習慣と文化を学ぶと共にカナダについてのより広い視野を得たいです。」
「知識を深める」は
gain a deeper knowledge や
gain a broader perspective を使って言えると思います。
ご参考になれば幸いです！
日本 
