The profile is the product page
Most people deciding on a gym never reach your website. They see the Maps listing, look at the photos, read three reviews and the opening hours, and make the call from there. That listing is effectively your product page and it deserves the same care.
Get the specifics right: exact category, hours that include class schedules and Ramadan timings, photos of the actual floor, changing rooms and any women's section, and attributes like parking and accessibility. Add the Arabic name as well as the English one — half of Kuwait searches in Arabic and a profile filled in only one language is invisible to them.
Reviews are the ranking factor you control
Distance you cannot change and neighbourhood competitiveness you cannot change. Review count, rating and recency you can — and among nearby gyms they largely determine who appears in the top three and who gets the click once they do.
Build a habit rather than a campaign: ask at the moment a member hits a goal, when they are most positive and most willing. Reply to every review including the critical ones — the reply is read by the next hundred people deciding, and a calm, specific response does more for you than the complaint does against you.
The searches Maps does not answer
Maps handles "near me". It handles "women's only gym with childcare Kuwait" or "powerlifting gym Kuwait" far less well, and those searches carry high intent from people who have specific requirements and fewer options.
A small site with one real page per offering — women's section, personal training, CrossFit, classes — captures them. Write practical content: hours, what is included, what to bring, whether there is parking. Write it in Arabic as well as English; the Arabic side of this market is markedly less contested.