Hello Cypress!
Grand Mercure Roxy is along East Coast Road and surrounded by a wealth of dining options.
East area
you can cab down to East Coast Park Food Centre, which has a a gd variety of food. Hit there from 5pm - midnight for best offerings.
Also recommend that you head to Geylang Lorong 9, where all the best hawker foods are. Try the beef horfun (noodle with dark gravy with beef) or you can sit down by the road side and devour some tropical fruits such as mangosteen, durian and mangos.
Geylang Serai is also a stone throw away. it has a large food centre but mainly offers Malay food such as Nasi Padang. Imagine eating rice with spicy dishes at 9am. weird but people do it here!
Old Airport Road Hawker Centre (that's exactly what it's called) had good food as well. try our .......ised version of western food (alwas comes with bad coleslaw that has raisins, baked beans and fried buns). the soya milk and warm bean curd is highly recommended.
City Area (Bugis, Orchard Road)
Purvis Street; try their beef noodles which is famous or the Yet Con at Seah Street (next street) for auntentic Hainanese food (chicken rice, pork chop etc).
If you want something more refined, Raflles Hotels has Doc Cheng's and there is Gunther's at Purvis Street for fine dining french cuisine.
the food court at Ion Orchard (Food Opera) has a pretty decent selection of local fair that's pretty auntentic. I'll recommend a trip, however, the prices can be a little higher than those at the hawker centre, but affordable none the less!
Transport
Unfortunately, the hotel is not near any MRT station and it's abit of a trip to get to the nearest one (either Kallang, Paya Lebar or Kembangan). Bus no. 16 takes you to the city area but may get crowded in the morning or evening peak hour. Highly suggest you flag a cab to get you around. they are dependable, afforable and the drivers have the knowledge to recommend you on best places to eat.
Hope this helps!