Same planet, different job
Mercury rules both signs, so these two are likely to find each other interesting straight away. Both like information and words, and both can be funny in a quick, observant way. Gemini wants to know a little about everything. Virgo wants to know exactly how this one thing works. Put them together, and between them they tend to get the facts and the possibilities.
Virgo gives Gemini something to aim at, and some help getting there. Gemini stops Virgo from disappearing into the details, and says “So what if it’s not perfect? Send it.”
Worry meets scatter
This square has a very specific flavor. Gemini said they’d pick up the prescription, and then met someone at the bus stop. Virgo, who had counted on it, doesn’t shout. They quietly become more anxious and more exact, and start double-checking everything Gemini says they’ll do. Gemini feels watched and marked, so they get evasive, and that gives Virgo more to worry about.
Both also live in their heads, which means a fight can become a highly detailed debate about who said what on which day. It can go for hours and still never touch how anyone feels. Two people can win every argument and still go to bed lonely.
Getting out of your heads
Get your bodies involved: a walk, a swim or cooking together works better for these two than one more talk. Keep a shared list for the things that really must happen, and let the rest go. Gemini can treat a promise as a small contract. Virgo can drop the follow-up question about one time in three, and see that the world carries on regardless.
Neither Sun will tell you whether you feel looked after, and you might need to look for that more deliberately than other couples. Start with your Moon signs, especially if both of you are better at explaining a feeling than having one.