I don't think it would be weird, but it really depends on your therapist's boundaries.

I think mine might accept flowers I picked from my yard, but I'd be unsure about flowers I purchased. If I did bring flowers (or tomatoes--I thought about bringing some when my garden was overflowing with cherry tomatoes!), I'd probably let her know that if she was uncomfortable accepting them, they would grace my own table, so no awkwardness.