This is the 12126th most frequent Turkish word.
gösterirse
"If he/she/it shows."
In this case, 'gösterirse' again serves to propose a hypothetical condition reliant on the friend's action (showing).
Arkadaşı bize yeni kitabını gösterirse, konuyu daha iyi anlayabiliriz.
If the friend shows us his new book, we can understand the topic better.
The word 'gösterirse' here relates to a hypothetical action they might take (showing their talents), leading to potential success.
Kendine inanır ve yeteneklerini gösterirse, başarılı olabilir.
If they believe in themselves and show their talents, they can be successful.
Here, 'gösterirse' is used in the subjunctive/conditional mood to indicate a condition (if someone shows).