It's called a wireless bridge

Either route a cable from the first router(trust me it's worth it) or just get a stronger WIFI dongle for the PC.

Go with UniFi site to site instead of commodity waps.

You can do this but it will suck. May as well just put a USB WiFi dongle on your PC. If you can run a cable to your computer— or at least between the APs— do it.

I believe it would be the same speed and less reliable to do it this way than just connecting the computer to WiFi.

There are purpose-built equipment for this.

1: P2P WISP such as Ubiquity Litebeam. the old Litebeam M5 is even compatible with 802.11 WiFi when airmax is turned off. My weapon of choice for performance.

2: Mesh routers. What seem to be the common man's choice these days.

3: Routers that can do Repeater Bridge or Client/Station bridge mode. Easily doable with DDWRT firmware. I only.buy routers that can have DDWRT or OpenWRT because of capabilities like this. Super flexible. Netgear nighthawks and older linksys routers usually can run DDWRT.

4: "WiFi Extenders" or Repeaters with a LAN port.

It’s possible and it will suck

MikroTik