You don’t have to plan from scratch. These rides pass close to University Hill, mapped and written up by route publishers around BC. The full maps and turn-by-turns live on their sites.
UBC Explorer— Let's Go Biking · 9 km ride, passing within a kilometre
Vancouver Crossing Loop— Adventure Cycling Association · 503 km route, passing within a kilometre
Pacific Spirit Park— Let's Go Biking · 16 km ride, passing within a kilometre
Cherry Blossom Populaire— British Columbia Randonneurs · 102 km ride, passing within a kilometre
Seaside Beaches— Let's Go Biking · 18 km ride, passing about 1 km away
Seaside Greenway— Let's Go Biking · 24 km ride, passing about 1 km away
Getting there with a bike: province-wide buses, ferries, and shuttles are listed under Transport (some serving University Hill may be listed there rather than here).