If these are the right specs for your laptop, then there's not much you can do. Looks like a 2.4 GHz Core 2 Duo (T5800), 3 GB of RAM (4 GB max), 320GB 5400 RPM SATA drive.
https/www.manualslib.com/manual/320296/Sony-Vaio-Vgn-Cr590.html
Moving from 3GB to 4GB won't be much help. I suspect your problem is it's probably running Windows Vista. Support for Vista ended 7 years ago, with security updates stopping 2 years ago. So software vendors have been dropping support for it. The laptop itself should be fine. It won't be speedy, but the hardware is more than adequate for web browsing and office tasks. The problem being that Chrome dropped support for Vista in 2015, Firefox dropped it in late 2018, and Internet Explorer is outdated.
Since Firefox dropped Vista support only a few months ago, you might want to try it. 52.9.0esr was the last version to support Vista, and can be downloaded here. See if it's compatible with Google's app suite. If so, you can edit your resume via your Google account.
https
/ftp.mozilla.org/pub/firefox/releases/52.9.0esr/win32/en-US/
If that doesn't work, try downloading an Ubuntu live DVD/USB. Boot off that. If your laptop works with it, that'll let you use a more up-to-date browser. If the boot time off the DVD/USB is intolerable, you may want to wipe Windows off the HDD and install Ubuntu onto it.
https/tutorials.ubuntu.com/tutorial/try-ubuntu-before-you-install#0
Office files for things like your resume can be edited using Google's apps via the browser. Or you can use Libre Office. Just be sure to print your resume to PDF before emailing it to employers since the .doc files it produces may not appear exactly the same when viewed in Microsoft Word.
Edit: Actually you might just be able to use Libre Office for Windows. I'm seeing mixed reports if the latest version supports Vista. So try all three. 6.1.4 (latest), 6.0.7 (enterprise), 5.4 (definitely supports Vista).
https
/www.libreoffice.org/download/download/?type=win-x86_64&version=6.1.0&lang=nnhttp
/downloadarchive.documentfoundation.org/libreoffice/old/5.4.7.2/win/x86/