I want to make friends with a new girl at work but I freeze

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So like 2 weeks ago a new person got hired at my job. I was happy that she was my age because I wanted to have a female as a friend for once. For the longest time I've been having trouble making new friends because I've developed anxiety over time due to moving a lot which caused me to avoid people. However, when a few guys my age got hired I didn't have much of a problem making conversation.

At my job we have shifts so we don't work at the same time and have around 10 minutes before one takes over and the other heads home.

It's been a few weeks now and I just can't make any interesting conversation with her. I don't know how to befriend her. There's definitely nothing wrong with her, she's really nice. I'm also not sure if I'm doing anything wrong. We just kind of sit there for the 15 minutes and every few minutes or come up with something to talk about, which ends in a few seconds. I really just want a friend; I have no interest in anything more besides bestfriending. I don't know how to ask her to hang out even because I feel that'll sound like I'm asking her out on a date. It would also feel kind of weird since we've been fairly quiet this whole time. With guys it's easy and I've done it before.

I really don't understand why I'm overthinking this so much and why conversation is so hard. Can anyone help? It's really frustrating and I worry I'm coming off as mean.