Yes, the sentence "I’m just glad you’re recuperating" is grammatically correct.
The meaning of the sentence is that the speaker is happy that the person they are addressing is recovering or getting better, likely from an illness, injury, or some form of hardship.
Possible rephrasing could include:
- "I’m really pleased to hear that you’re on the mend."
- "I’m just happy you’re getting better."
- "I’m relieved that you’re