Naomi Osaka Says She's 'Really Happy to Be Here' After Picking Up Second Win in Tokyo

Clive Brunskill/Getty Naomi Osaka

Naomi Osaka is ready to keep winning.

Osaka, who is competing for Japan, won her second-round match at the Tokyo Summer Olympics on Monday, defeating Switzerland's Viktorija Golubic in two sets, 6-3, 6-2.

"Honestly, I feel like I was a bit more nervous before the match," Osaka told reporters afterwards. "I felt a lot of butterflies, but I think as I started playing and feeling more comfortable, I knew that no matter what it would be a great match."

However, while she may have been feeling more nerves, the 23-year-old athlete felt more relaxed on the court.

"I think yesterday I was a bit more intense," she said of her opening round match against China's 52nd-ranked Saisai Zheng, which she also won in straight sets.

RELATED: Naomi Osaka Wins First Tennis Match at Olympics After Lighting Olympic Cauldron

As for hopefully winning gold in Tokyo, Osaka said that standing on that podium "would mean a lot."

"But I know it's a process," she added. "I know these are the best players in the world, and honestly I haven't played in a while, so I'm trying to take it one notch at a time."

Prior to making her Olympic debut on Sunday, Osaka hadn't played in two months after previously sitting out both the French Open and Wimbledon after going public with her mental health struggles.

"All in all, I'm just really happy to be here," she remarked.

Want to get the biggest stories from PEOPLE every weekday? Subscribe to our new podcast, PEOPLE Every Day, to get the essential celebrity, entertainment and human interest news stories Monday through Friday.

One aspect of the games that hasn't been as nerve-wracking? Lighting the Olympic cauldron.

"Honestly, I didn't feel pressure," Osaka told reporters on Monday. "I felt more excitement. It was like a sense of duty, something I wanted to accomplish."

The athlete previously called the experience "undoubtedly the greatest athletic achievement and honor I will ever have in my life."

ANDREJ ISAKOVIC/AFP via Getty Images Naomi Osaka

Earlier this month, Osaka wrote an essay for Time magazine, reflecting on the pressure she felt to disclose personal details about her mental health.

"In my case, I felt under a great amount of pressure to disclose my symptoms — frankly because the press and the tournament did not believe me," she wrote. "I do not wish that on anyone and hope that we can enact measures to protect athletes."

Her next match is on Tuesday, when she'll compete against Markéta Vondroušová.

To learn more about Team USA, visit TeamUSA.org. Watch the Tokyo Olympics now on NBC.