Summer is coming! But first, we have the rainy season to look forward to...
「もう夏~~~!!!」= summer is here! / It's already summer here! / summer is coming!
「その前に梅雨が来るんだけどね」= but first, the rainy season :-( / but first, we have the rainy season to look forward to...
一番良い表現は: 「Summer is coming! But first, we have the rainy season to look forward to...」だと思います^^
It already feels like summer here, but we still have to get through the rainy season.
この場合、次のような言い方ができますよ。
ーIt already feels like summer here, but we still have to get through the rainy season.
「もう夏のようだ。でもまだ梅雨を越さないと」
to get through で「(何か困難な事を)切り抜ける・乗り切る」という意味です。
ご参考まで!