No, Chinese ordinary passport holders are not eligible for Visa On
Arrival (VOA) at UAE airports,a visa is required unless passport issued by
China (People’s Republic) “Passport For Public Affairs”.
Answer is from Emirates visa & passport, also E-visas is also an option and can obtain before departure from this website.
Nationals of China (Peoples Republic) with a “passport for public affairs” for a maximum of thirty days can avail VOA facility at UAE airports
Also there is news that UAE would start allowing Chinese ordinary passport holder to enter UAE without a visa, however that has not been implemented yet. Also Visa policy of UAE says the same:
“In September 2016 the UAE Government adopted a decision to grant visa on arrival access to citizens of China, which will be implemented on a later date”
Answer to your second question would it matter for UAE after visiting
Isreal, there are few sources which suggests UAE not really concerned
for visitors coming from Isreal
“ However, despite much online misinformation to the contrary, Israeli visa stamps are — by official policy  — not a problem at all, and neither is having been born in Israel or Palestine”
Also in Isreal there is another option to get passport stamps on
separate immigration paper, If you are really worried about Isreal
Israeli passport stamps
"It is also possible to get the stamp on a separate piece of paper. Additionally, for the past several years, stamps have not been used, at least at Ben Gurion airport (since January 15, 2013). Instead, entry and departure records are printed on small slips of paper, which include the name of the traveller, the photo read from the epassport, the date, the visa status, and other details. The slips also include a 2D barcode which is used as a gatepass to pass through the gate out of the passport control hall."