Guys I have to thank every one of you.
I upgraded the ram to 4gb. Replaced old spinning hdd with 500gb ssd samsung 860 evo.
Reinstalled windows 7 but remained at 64bit flavor. GUYS this laptop has never been so fast like it is now. It boots up under 20 seconds. Websites are snappy (well snappy considering this cpu) and for 2-3 tabs in browser it is more than enough.
Before windows 7 I tried vista again on that ssd, but it kept bluescreening with dpc watchdog violation. Mom is happy with 7 though so it is not a problem at all.
Again HUGE thanks to everyone that helped and suggested actually good things.